the LABC is limited to LN/LSF/LPI only... Unless you have a special RP. If not, and you fly it, you may get issues with diverse players on the server and may happen to be reported for OORP. /experience
If you can come up with a damned good RP reason for it, then by all means submit it. Please just make sure you talk to the [LN] and =LSF= about it first. There is no guarantee they'll agree with it, but if you have good roleplay reasons (better than "cos I like it better") then submit it to us and we'll take a look.
On the note of independant caps. The perception that -all- independant cap ships are bad is a little daft. However I do agree that there are far too many cap ships on the server at the moment.
Again, if the RP for your ship is solid, be it a bountyhunter battlecruiser or a liberty one (though personally I'd advise sticking to your own group's shipline), and you don't use it to pew pew at people who can't defend themselves from your ship, then I have no issue with it.