That potentially could work along with a top caul on top of the sandbags clamped down, it was a traditional way of veneering for furniture makers in years gone by. A better approach would be a vacuum bag press if you can find someone near who has one, it will give a lot of extra pressure in those hard to get to bits.
Another thing worth thinking about is how tight any carved radii might be, especially compound radii. Veneers may not want to bend into that shape without creasing or splitting, if that is the case you can spend a couple of days trying to train the veneer to fit. How, easy, just wet the veneer, clamp it down and let it dry, protecting your caved top in a plastic bag of course. Do that a few times until the shape is there then glue it down. For very tight curves you can further soften the veneer with PEG, polyethylene glycol, used by woodturners who use wet timber.
I would use a powder/water mix urea formaldehyde glue like Cascamite if you can get it for the glueing too as it will give you much more time to work than a super fast drying glue like Titebond