Just a quick note if you are going to use this approach using the antenna Illustrated, you might want to cut the coax about 5 inches from the antenna and rewire the connection so as to attach a good quality low loss coax.
They always say it doesn't matter on UHF or 700-800 megahertz if the lead is under 15 to 20 ft but it actually does.
As long as you're going to all this trouble, think about a VHF, UHF, 700-800 ground plane similar to what Radio Shack used to sell. Mount it on a broomhandle which can actually be bought at a Dollar Tree or at least Home Depot. Using Gorilla Tape or clamps find a way to mount that. Maybe because it's a wooden handle attach it to the gutter, using a low loss coax of course. Just a thought.