I have a number of friends who worked around this problem by connecting their active speakers (mostly JBL 305/308) to the
amplified outputs of a cheap AVR. Which seems completely bonkers at first glance, but it does work quite well and they've been using that setup every day for years now. From a purely electrical perspective there's nothing egregiously wrong with that solution, I think. Of course, one has to be careful not to accidentally set the AVR volume too high, under penalty of the active speaker input stage blowing up in smoke
Some AVRs have volume limiters to help with that, and so far the JBLs have proven to be quite resilient to input voltage abuse.
A cleaner solution could be to open up the AVR, figure out where the internal amp input (line outputs) is, and piggy-back on that. That's actually quite doable for old AVRs that still have service manuals with full schematics, but I think it's harder to do that on newer models.