We use silicon bags and magnets. You let the top of the bag drape over the side of the bucket(tub? basin?) and hold it in place with a few magnets. From what I can tell the results are the same for the steaks and meat we cook and none of the sketchiness from eating slow heated plastic.
Try switching to Parry Grip, some of it is OK and the catalogue is big enough they don’t really get stuck.
And just to show solidarity the other day my kid just kept 'teenage mutant ninja turtles’ing for what felt like a half hour without a single ‘heroes in a half shell’ to round it off.