Actually, I think this design should be a Heavy Carrier or a Heavy Troop Transport. It looks like it has even more volumn then a Heavy Crusier. I remember in SFB, that their where Strike Carriers and Command Carriers both based on the Consitution Design. The Strike Carriers where easier to convert from a Constitution Class ship while the Command Carriers where much harder to convert. The Strike Carriers where limited to carring only F-18's while the Command Carriers could hold F-18's, F-14's, F-18's, and I think even A-10's.
Now I know this is a FASA ship and no relation to SFB, but I could see this as some sort of Heavy Carrier capable of carring large amounts of Fighters or maybe even some Heavy Fighters. Heck, maybe it could be a PF Tender.