For stuff like that I use the tape to get everthing in place, then shrink wrap it. The rolls I use are around eight dollars at any of the big box stores last time I bought one. The glue doesn't adhere to the wrap, so it comes off easily. I use the technique often laminating all natural materials in my bow making endeavors.
In this photo I was laminating two reflex deflex bows at once. You can see the roll of shrink wrap that is used by the blue cup. Pulling it tight three wraps, move over overlap three wraps and so forth applies pleanty of clamping pressure. In the photo the clamps are there just to induce the reflex and deflex, not for holding the laminates together, the shrink wrap is doing that. I use Urac 185, a gap filling glue made by Nelson Paints, it is water proof, and works well in boat building also.