Try the Goop.......it's wonderful. There's nothing I've used it on that it wouldn't stick to and has dissolved nothing. I've used it on styrene sheets to create platforms for relays in engines.....no problems. in fact, this afternoon, I used it to create a platform for a lead weight in an engine. Styrene.
I started using it after having an issue with a pair of "waterproof" Keen sandals which delaminated from.....water exposure. Keen wouldn't repair them.....said they were out of warranty. I used/tried all kinds of adhesives including silicone and nothing held well. Found the Goop in a hardware store and as they they.....the rest is history. I've used it for train projects, delaminating snowboard boots, attaching LEDs, attaching toggle switches to control panels, repairing worn spots on gloves, you name it. I just don't use it for rigid repairs.
Roger