The way that car audio amps generate 3000 watts is by lying about how much power they generate... Watt=volts x amps, so at 13VDC (a lead acid battery is typically 13.8V, you'd be pulling 230 amps. That's a lot of power, considering that most normal cars would probably be producing maybe 80 amps tops. If you made 80 amps available to the sound system that would only be 1000 watts. You can't actually take all the power from the alternator because you've got to give some to the engine so it can TURN the alternator. And, even then, the amps aren't 100% efficient, so the numbers keep getting smaller and smaller. If you see a 3000w car amp, it's probably designed to be in a car that sits on the car show floor plugged into a whole bunch of batteries that are being charged by a generator. Or you're talking about one rockin' fire truck.
In fact, 3000w is even a problem for a 110VAC amp. Again, you can't expect 100% efficiency, but it would require 27-30 amps. You could get this sort of power on stage for your amp at the Staples Center, but the normal electrical service at the outlets in your home is only 20 amps.
These modern lightweight amps use switching power supplies and might be 85% efficient (vs. old school transformer power supplies that were more like 50%). I'm not sure that modern Class H-type amps can really produce their rated numbers on any sustained basis either.
I think the reason that you don't see a lot of single space power amps are that there's not much room in there for heat dissapation, even with cooling fans and other expensive solutions. People will try to take the small amp in cram it into a small rack making the problem even worse. A single slot fan makes a lot of noise to move any air compared to a 3 fan in a 2-slot chassis. Guys who buy small amps are probably more likely to want it to be quiet rather than loud, so youv'e got a collision of all bad things here - expensive to make, noisy, and possibly less reliable under the conditions they really end up in.
Your best bet is probably a lightweight 2-slot amp. It will be more reliable and should produce more power than your cabinet will ever be able to take. If it won't handle a 4-ohm bridge load reliably, then you really could look at new speakers.
Good luck,
David Fung