Sorry for delay, I forgot to subscribe and check back. Here's a thanks in return lol.
I'd use one full range speaker and run it in mono through a two channel amp, then the second channel I'd use for a transducer. Then just plug the source directly into the amp.
The full range driver I'd just get something cheap, like this:
GRS 8FR-8 Full-Range 8" Speaker Pioneer Type B20FU20-51FW 292-430
There are other full range drivers on there, that's just the first cheap one I saw. That keeps you from needing a crossover. Can buy two if you want stereo or its important to the installation, reflect them off the walls. Or four, since they are so cheap.
For the vibration the best thing is to mount transducers directly to the box. Subwoofer will pressurize and vibrate it a bit, but, not like a transducer, and that full range driver goes pretty deep.
The idea is to sit on it? Hehe. Like a Sibian? lol
Then I'd spend the money on the Aura AST-2B-4 Pro Bass Shaker. About the same power handling as the full range driver, so, could use a 2 channel amp.
Then you use that Dayton 50w 2 channel amp.
Then for the subwoofer use those low pass things.
Done!