The usual adhesive tapes rely on a solid flat surface on the number plate, and a solid, flat surface on the car (i.e. a body panel/painted bumper)
The number plate surround isn't completely solid, so you may have trouble once water gets at the adhesive. It will hold for a bit, but will give way eventually.
Personally I'd just man up and drill the holes for the surround. If you get them wrong it's no big disaster as the number plate will cover it up.