I'm having a little bit of a tough time following exactly what you are getting at, so I'm gonna wing it a little bit.
Clan in question: Clan Snow Raven
The goal of the Ravens would be different than what you set out, primarily due to the fact that they exist quite a ways away from the other clans. They would intend to build a navy that would allow them to dominate both of their neighbors, the other clans would be tertiary considerations - with pirates being secondary, regardless of how weak most pirate navies could be. To succeed in these goals, well, with the restrictions on the IS navy, and the limited sizes of the current navies of the other clans, they have quite a bit of time before anybody could get anywhere near threatening even half their fleet.
With that in mind, I'll make it a bit more interesting and suggest that the DC and FS intend on restarting their warship production.
Keeping with those two issues, I'll modify the WoR slightly so that a few more Snow Raven scientist caste and other civilians make it to the Alliance. This and material issues are likely heavily involved in what kept the Ravens back so heavily during the Republic era.
So in the standard timeline the first jumpships started rolling out of Quatre Belle in 3081, it's probably going to be 3085 before warship production will be ready to begin. With your suggestion for speeding things up a little bit, I'll pull that back to 3080.
The design of the fleet would be intended to streamline the fleet quite a bit, eventually moving the old SLDF ships to a ready-reserve. The primary combat fleets would include the original Leviathan (which I imagine to be somewhere between the Leviathan II and Leviathan III) partnered with a carrier - the DC and FS border fleets will probably have Conquerors while the "QRF" fleet would use the Thera - add a pair of heavy cruisers, and fill out the fleet with 6 escorts. In addition to this a series of Patrol Fleets would be intended for use, these would be built around Yorks and an escort. More escorts would be commissioned to provide defenses to the Potemkin support fleet.
In summary of everything they would be looking at: 2 Border Fleets (1 Leviathan-0, 1 Conqueror, 2 Heavy Cruisers, 6 Escorts), 1 Quick Reaction Fleet (1 Leviathan, 1 Thera, 2 Heavy Cruisers, 6 Escorts), 5 Patrol Fleets (1 York, 1 Escort), 1 Support Fleet (5 Potemkin, 5 Escorts). This ends up totaling 50 total warships, only 8 of which are in existence at the start of the project (and one of these is likely to go through a small and quick refit to bring it to clan specs).
The Leviathans, based on their size, probably won't start getting built until Quatre Belle is sufficiently built up enough to support their construction, which means they may not start production of them until ~3090. At an estimated 10 years to build the first one and 5 years for each of two and three (averaging things out a bit), this portion of the fleet is unlikely to be operable until 3110.
The Thera would require some fairly minor overhauls, switching Inner Sphere tech with clan tech weapons and removing a few aerospace fighter bays to add ~2600 tons to the cargo.
The Conquerors wouldn't require much changes. But the new Heavy Cruisers could easily be built around a reinforced Conqueror hull, having them being nearly a block II type design will cut down on the actual design time and production of these may start as early as 3090 as well. Only 6 of these are expected to be needed and assuming constant production all six could be finished around 3105. I'll call these Subjugator-class Heavy Cruisers.
The Yorks would pretty much be ready right out the gate, and the 5 to be built could be finished before the Leviathans or Subjugators even begin production. Eventually the Yorks would return to the yard for a mild refit, increasing the armor a small degree, particularly on the sides. These, as well as the old fleet would work as a stop-gap until the intended fleet starts coming into being.
The escorts, on the other hand, would start off as Fredasas, quickly building the 5 escorts to the Yorks before redesigning them to be slightly more effective and larger (250k tons) - but essentially being an entirely new class. The first 5 would likely end up as solo raiders after the new class started rolling out of assembly in numbers. 28 of the new class would be required to completely fill up the escort role throughout the navy and assuming the first one rolls out in 3100, the small size and large number of these ships means that a second production slip being tasked for their production is likely, and the last one could roll out before 3120. I think I'll call these the Crossbow-class (unless there's already a warship class called that). These ships will be intended to be primarily anti-ASF -SC, and -DS ships, while most of the others primarily focus on DS and WS.
The buildup of such a navy is unlikely to have a serious effect on the other clans, the Ravens are simply too far away for them to be a significant threat most of the time. But the new ships and black IIs of existing designs may increase trade with the Ravens for some of those designs. Looking at the other clans, they may each build upwards of 20-30 ships, mostly in order to face down the other local 3 clans. The Diamond Sharks/Sea Foxes might see a good number of Potemkins built, or new ships built along similar parameters such as Leviathan Is to increase their space borne manufacturing and transportable assets, add in a number of corvette or destroyer sized escorts and they'd probably be good.
The neighboring DC and FS on the other hand, will have to have their heads deep in the sands for them not to notice such a massive build up, especially after about 3100, when the first Leviathan-0 comes on line. It's likely to provoke a naval catch-up race of some sort, though they both have fairly large amounts of PWS production, with the DC edging out the FS in that regard.
Now, I'll admit, this is a LOT of warship production, but the Ravens do like their warships, and if they have the resources to do so, they're probably going to build them.