Rich,
I'll confess I've never needed to stick polycarbonate to wood. All my applications of it have been held in place with retainers or fasteners.
In order that the bonding agent not wick to unsightly locations, seems to me you need a high viscosity product that stays where it's put. I Googled a little and came up with a few possibilities:
Weld-On 55 and 56 are thick and clear, but I don't know how effective on wood.
http://www.cyberbond1.com/product-detail/apollo/2400/
Good ol' Superglue gel works on everything I've used it for, so far.
I still have that 8 1/2" X 11" sample sheet of cellulose acetate, if that will help. One suggestion I read on one of the woodworking forums is to prime the needed area on the wood to help eliminate porosity, for adhesives that like smooth surfaces...