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Thanks for the input so far, guys. Some people on here seem very duct-tape happy, but I really do not like the stuff, and I certainly was not going to use it on my dad's house.
The Owens Corning kit comes with this stuff, which is definitely more expensive than duct tape. I do not know if it works better, though:
Venture Tape 3"x150' White Vinyl Tape 460-K008 - Amazon.com
However, in the kits, the fiberglass is attached using plastic retainers, although one guy said to use
Owens Corning Foamular 1/4 in. x 4 ft. x 50 ft. Fanfold-10UM at The Home Depot and Loctite glue to keep the batts in place, but they do not sell that anywhere, nor does Lowe's sell the blue version.
Someone else suggested using pink foamboard to keep it in.
Would the foam insulation work better?