Congressional votes don’t need to be secret, so we have tons of technology that would permit remote participation and voting. That also frees up members to spend more time physically in their district.
When I’ve pictured this it’s with member counts in the low to mid thousands, not tens of thousands.
Floor debates are already mainly performative, with little bearing on changes to bills. All the real work happens in committee and by the Speaker’s office. I’d think about embracing this with more different caucuses of various members who come together on specific issues and bring versions of bills and amendments for committees to adopt or reject, maybe even a few levels of committees to build consensus slowly so the final floor vote is more formality than debate.