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I use Bakers and Chefs wrap from Sam's Club. Never had an issue with temps causing it to melt, but then again, 225-240 isn't all that hot in the big scheme of things. Oven bags would probably work equally as well...
The oven door isn't so bad because of the quick rate of recovery for the heat, plus the meat is in it's own steam pouch, but never open the pkg to check the meat till it's been at least 2.5 hrs. Oh well, it's a good lesson learned. I learned the same lesson when I first started cooking with Dutch Ovens. Eventually it dawned on me to leave the pots alone and let them do their thing. Like the old saying goes: Show me some one that doesn't make mistakes and I'll show some one that isn't doing anything...