like rich says, i wouldnt use VHB on wood.
to be honest, ide just get a panatrim frame made up.. looks great with rynabond & the like.
there are some cheaper d/sided tapes on the go which would help if coupling up with screws.
if screwing into it, although not really needed. drill a hole in the material first. screwing right into rynabond or dibond causes a twirl shaving from the hole that makes the fixing untidy looking. also. dont tighten the screw to tight as it makes the rynabond dent inwards giving the button on a cushion effect.