Bedding the action, good idea & id agrre with the idea of using cling film or something similar too as well as ensuring there was a good use of release agent too.

I dont know if you have seen the thixotropic types of adhesives that are made, epoxy ones, pu types, methacrylates etc but they might be of interest as although they can "squidge to shape" when uncured they don't run like a viscous liquid, so if you use the right amount they shouldnt flow to where you dont want them to run. Well thats the theory. Stil need release agent & film but they might offer a useful feature for an application like this.