I'm a cabinetmaker and joiner and deal with veneers almost everyday.
I can say that from my experience it's not worth the hassle in glueing the veneer on yourself when there are companies that will do this for you on whatever substrate you'd like with a proper press.
Every time I have contacted veneer on it sticks very well but as soon as I put a polyurethane clear sealer coat or topcoat on it the thinners in the paint lifts the veneer off due to eating away the contact. This gives you a bubble effect and it is not redeemable after this has happened.
If I have to do it now I use a vacuum press and either pva for small pieces or a 2 pac epoxy for large area stuff or whole sheets.
As I said above it will be better and more worth while in the long run to get it layed up by a board manufacturer in the thicknesses you need.
That's what we do and that's my opinion.
Hope this info helps your decision on how to go about it.
Cheers
Dirk.