I know you're concerned about bugs getting on her, but if it's an outdoor plant that's gonna happen whether she's up against the fence or not. Knowing that, it's an easy fix bro. Buy yourself a 10 foot 2X4, screw it on the flat to the fence as high up as it needs to be, screw another piece of 2X4 on top of that one sticking out towards the plant, and screw another piece on a 45% angle into the vertical board and the horizontal board for support. Get some formable wire, like bailing wire, and you're done. That's what I would do. Like I said, unless you sprayed her down with some Neem oil or something like that, BEFORE she started flowering, I think bugs is a foregone conclussion. Just hope that the Gypsy moths didn't lay eggs on her. You'll have a hell of a time with those budworms. Good luck.