i was kinda just joking around about the caddy thing, but I suppose you could. Just get a nice battery (i.e. optima)for an integra, or accord or something, and you'll be set. I'm not really sure what advantage a bigger battery would have. No real disadvantages though, other than weight.
Relocating your battery to the trunk is pretty simple. The biggest problem is running a cable up to the engine bay through the car under the carpet. The Summit catalog has a battery relocation kit that comes with a waterproof plastic box and like 18 ft of heavy guage battery wire. It think its like $30. The main point of this opperation is to clean up your engine bay a little, and improve your front-rear weight distribution. Of course, Im sure you knew that. Ask 88hondacivichatch, he did it.