So, I’m looking for an amplifier (separates or integrated) that has the current needed to round out the sound.@gochurchgo I'm suspecting that is not the case. The amp you have right now is able to act as a voltage source on your speakers. The way you describe it sounds like its more of a room problem. Have you tried moving the speakers a bit? For example, if you move them closer to the wall behind them, you will get more bass reinforcement. It may also be that if you shorten your speaker cables that you will get more impact. You might also try auditioning different cables as well, as they can have an effect.
I would certainly exhaust easy and inexpensive things like this first before buying another amp! If you're on a budget, the last thing you need is to find that you've not solved the problem with the next amp...
Also just a FWIW: electronics really don't care what sort of music you play. The idea that there is a certain amp or speaker out there that is best for a certain kind of music is a persistent myth.