My big 'problem' is that carrier dropships, I see them as basically a stopgap, the equivalent of a CVE, even the big one like the vengance.
Now lets assume that this is in the Star League era so resources and construction sites are not going to be an issue.
Carrier-dropships are useful but are no filler for a true carrier. A Warship that has a Carrier attached can't really add more than one unless its a seriously large vessel like a battleship. This is because the Carrier would be a logistical drain on its mothership, a literal parasite. You'd have to bunk the ships crew, its aerospace group up, as well as carry fuel for it, its fighters and the munitions, crated fighters etc. The cargo space isn't a problem as most SL era ships had absurd amounts of cargo space, but if this is on a House warship from the 3060's onwards, where most have a serious lack of cargo, this then becomes a massive problem.
Other problems I see being the Carrier dropship itself being vulnerable to damage, if its destroyed, do you then abandon its fighter group if you have no room in your hangars?
With the unbalanced and insane fleet structure of the SLDF there's other issues too, but we know they built and used carriers. The fluff about the Sarmakand class says that the SLDF used that class and built them for their own use.
These would form what you would class as a Strike carrier, they are armed enough to defend themselves but their main armament is most definately the 72 fighters carried aboard. With an escorting group's fighters, a swarm like that could probably cause serious issues or establish aerospace dominance. The Sarmakand II would be a good starting point as a strike carrier. Only changes i'd make is to beef up her tonnage (the Sarmakand is AMAZINGLY light at 350k tons), make her a 400k ship and put that into protection and additional firepower or engines to let her act with a cruiser squadron. Or give her 48 fighters each
you could probably use a version of the Vincent to turn her into a carrier, give her 36 fighters and you've got a good picket/patrol ship that's built on the same hull as the SLDF's equivalent of a coastguard cutter. A Vincent CVL could run along with other Vincent, acting as the flotilla command ship whilst providing some much needed offensive punch to a group of Vincents. Then again the vincent needs work, she's outgunned by the ships she replaced, has a HUGE cargo space, is practically unarmed and unarmoured yet somehow weighs that bloody much. Anyhow! I digress
Get a Vinny, rip out some of that absurd cargo space, give her 24 - 36 fighters. Remove the pointless large lasers, add some AMS and a bit more armour and leave it at that. Cheap, cheerful and simple.
For a big fleet carrier I point to something like the Ark Royal class;
http://bg.battletech.com/forums/index.php?topic=55443.msg1275069#msg1275069 http://bg.battletech.com/forums/index.php?topic=55443.msg1285442#msg1285442 As being ideal, yes she's a big lass at 1.4mt but she also brings 216 fighters to the party, far more than her nearest rival the New Syrtis class with its 120 and more than enough to estabilish total aerospace dominance over all but a Member States capital world. She's also heavily protected and can defend herself against a Warship if needed, but she'd be at the centre of a fleet or hidden behind the Battleships, operating in a command and control role.
Of course these would be rare ships, probably no more than one per major fleet group. But the Strike carriers would be far more common, Even better if you can base the carrier on the common Sovietskii Soyuz class as the hull.