I understand wanting to feel that connection with the bass, but once plugged in, the connection is made with the actual output, you probably won’t feel anything from the body once the backline kicks in.
However, if you’re going IEM and ampless, this might still be an issue, in which case something like the Backbeat would be worth investigating.
Replacement bridge?
^^^ this.
The inverse problem is vibration cancellation due to conflicting waves, as mentioned here…
If you’re not vibing (pun unintended) with the instrument, move it on, find another that works better for you.