If your battery backup system can handle the power-up current draw then you probably can find an acceptable match for your gear. There are a few caveats, but generally once your amp has charged up the banks then it's pretty much your amp's responsibility to provide the required regulated current - that's what those things are designed for.
The suggestion re: APC stuff is something to follow up on, if for no other reason than they usually have decent info on their Web site or linked discussions that can help you figure out what might work and what to avoid.
The suggestion re: APC stuff is something to follow up on, if for no other reason than they usually have decent info on their Web site or linked discussions that can help you figure out what might work and what to avoid.