there are different resins, - speaking from someone who works alot in plastic- there are resins which will stick to plastics and dont create alot of heat in the curing process- so you could in effect add resin to the hull, - the big question is are you prepared to spend money on doing it....cheap polyester resins will no doubt affect the plastic , create a thixotropic curing process and risk your hull, which leaves polyurethane or epoxy based resins- you will need to prepare and degrease surfaces to get a good bond but it is possible- i have strengthened ABS vacuum formed hulls in the past, kyosho hulls, one from Sarik vac form and also a very thin cheap vacuum formed tug hull, so it can be done if the right preparation is done and the correct resin is used....
often electronic potting compound resins can be used too
plasticard reinforcement could be the option but if the hull is very thin any amount of solvent applied could risk melting the thin hull layer beneath it- once the solvent has evapourated the bond is usually very strong, its a chemical weld....
to avoid an edge only bond select a plasticard panel to add for strengthening, dip the face to be bonded into a shallow bath of plasweld allow a 15 seconds or so for the surface to soften and the excess solvent to evapourate then apply... again correct surface preparation will be needed and any contaminents removed ( grease from fingers ect )
plasweld will bond acrylics and most plastics, try with scrap off cuts first....- this is the cost effective option as quality resins can cost tens of pounds per litre- and vacuum formed hulls are generally very cheap , is it cost effective ???