Looking great! Is that a VHS case you're using there?
I'm not a hardware guy so my understanding of the audio circuit is minimal, but I'm guessing the filter should give a nice, bassy sound?
Regarding which audio engine to use as a showcase, the best option would be to write a new one, of course So we could make proper use of those 8 MHz. I would actually be up for coding something, but I'm going to be pretty busy for the next month and a half, so I can't promise any quick results. That said, please post details about how to address the beeper in code, so I can start scheming.
In the meantime, I would recommend to go with one of the Squeeker-type engines. Shiru's Squat (available in his 1tracker) is probably a good starting point. The advantage here is that Squeeker-type engines use only one output command per sound loop, so you don't need to be too concerned about keeping multiple outputs properly aligned. Basically just stuff a bunch of wait states somewhere into the sound loop to adjust for the higher clock speed. Pretty much every newer ZX Spectrum beeper engine has the cycles for the sound loop counted out in the source code, so you just need to find that and multiply by 8/3.5 to get the number of cycles you need for your machine.