I've been kicking around the exact same idea for a while, I've finally reached the point where I'm actively looking at the rail & linear bearing sets used in CNC machine.
I've got a 12" square piece of cast (not extruded) acrylic acetate that I believe is 3/8" thick, and it seems sturdy enough for the job - it feels as stiff as the phenolic plate in my router table (which is this one from Rockler here in USA.)
That's where I'm starting - if it turns out to be inadequate and I can't get reasonably clean cuts, that's the cheapest part of the entire set-up to change out and I'll treat it as a prototype.
(Oh - I chose 12" square clear because I wanted visibility as to what's going on at the cutter. I felt the table insert plate would not offer the same view from all around.)
Have fun!