You lack one thing.
A number for your budget.
If you dont have a number, then I can't help but merely comment on other people's suggestions.
If you want lots of bass with as little distortion as possible you want this:
Its big, powerful, and costs nearly a grand before shipping.
And it weighs 80 lbs on its own so have fun shipping it.
Theres this one as well:
but its not as clean sounding, but its amazing for output.