I would drain the gas out of it first. It should be ok, if you lay it on pillows or something soft. Once you get the the helicoil kit in, it will make more sense why laying it/leaning it over makes sense. Luckily I had a stock muffler on mine at the time, so I was able to easily jack it up to fix where someone jacked it up in the first place.
My swingarm is an early one 2003-2005 and if you want it, I'd sell it for $25+ shipping... or if you showed up at my front door, I'd just let you have it.