Have it fleshed out a bit for the 1-yard-per-decade version. The below is on a slightly modified math basis, with 9.5 years between yards, yards mostly producing the same or a similar design throughout their service life, and build times lowering so that with a new yard after 2200 we could in theory approach the optimum minimum construction time at around 9 months. These little adaptions are mostly to keep it simple while keeping construction such that we can introduce certain ships as in canon. We do end up with
159 ships by 2200 - and after that we're pretty much adding five ships every year. By the Demarcation Declaration we'd still be at around 340, a bit less but still a good number. The fun part about doing it this way is that if we need more ships at any point of time we just add another yard somewhere...
Thus basically, by
2200, we'd have a 60-ship Navy that runs:
- about 4 first-generation jumpships like TAS Pathfinder or TAS Ark
- the six TAS Charger series Aquillas
- some 36 further-developed "mainline" Aquillas (Mk2/Mk3) as the mainstay of the fleet for patrol and escort. At least 10 Mk2 at 100 kilotons like Charger, possibly a small series of 150 kiloton Mk3 "Super-Aquillas" from which the civilian version is derived.
- two "cruisers" built along the lines of Athena as an abandoned line in the 2170s - though still limited to 150 kilotons due to the yard that builds them.
- ten auxiliary ships as mobile repair ships and for base construction - these can be very large in comparison at up to 350 kilotons.
Beyond that we have civilian actors. These would get 99 ships:
- 9 first-generation jumpers similar to TAS Liberator
- 27 second-generation jumpers up to 200 kilotons
- 4 third-generation jumpers up to 350 kilotons
- 45 unarmed Aquillas in civilian hands, including around 4-5 in the hands of some state actors below the TA; Boeing Interstellar would keep the design in production after the military contract ceases.
- the Ryan Cartel operating a first batch of 16 ships - also being the first 350 kiloton jumpers. That's mostly a placeholder though.
By the time the first Aquillas hit civilian hands in 2148 there'd be only 8 civilian ships (+2 building) vs 22 ships in the TSN, which would initially also be used for colonizing. By 2170, when construction of the first "cruiser" is decided the TSN would already be rather large at 46 ships, while there would be 28 civilian ships around; the Aquilla Mk4 sale to civilians, mostly after 2165 would really suddenly flip numbers over the next thirty years.
The TSN in this scenario wouldn't really procure much new ships - safe for auxiliaries and the pair of cruisers - after 2165 and until the 2200s, basically riding on their Aquillas while they're reasonably fresh. The armored monitor type dropship mentioned could see some use as an alternative military escalation for exactly this timeframe.
As for heavy weapons, i could see them on the Charger due to paranoia about what's out there - due to what's available mostly primitive cap missiles. Perhaps then keep them off the Aquilla Mk2/Mk3 subsequently (by the 2130s people should feel reasonably assured there's no aliens... nearby), and reintroduce the heavy armament with the pair of cruisers - then focused on space-to-ground like Athena.