Judging by your last build I don't think your going to have a problem, everything I've seen on wood bending latly seems to be with a press using a heat 'blanket' made specifically for bending guitar sides. You could make the press I'm not sure what one of the heat blankets would run you. I bent the skinny sides for mine by hand and it was tricky, wider sides I would imagine would be even harder. Lookin forward to watching this one come to life!
I'm posting this "for whatever its' worth" since it just may apply to your bending dilemma.
In the '60's, a friend and I began constructing classic guitars. We used Brazilian rosewood for the sides and backs. It was very plentiful at that time - before it was restricted in the late '60's (?).
We made an odd-shaped cylinder out of sheet brass - it had 3 different radii and one closed end. We heated it with a couple of those filament heaters that you can screw into a light socket. The rosewood was allowed to soak in plain water - at least overnight - before attempting to bend it. Upon contact with the heated cylinder, the water would turn to steam which facilitated the bending of the material. Constant checking of the bend(s) against a form gave us the curvatures desired.
This may - or may not - stimulate your imagination such that you can come up with something simple - and which will do the job - for your application.