Thanks for the suggestions - I appreciate them. I probably won't be using the Reddenbacher method since I swore off popcorn a couple years ago, and I know that I'd end up eating the stuff before I got it on the frame. I also don't want to do the whole "dip the frame" method unless I really have to. My other vintage projects have all entailed stripping the frame and doing a complete respray, but this is going to be a utility bike (not a restoration) that will eventually become my pavement/gravel "fishing bike". (More on that when I get it done.) Any more ideas are welcome!
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Some days, it's not even worth gnawing through the restraints.