It's not a stupid idea at all. If you like this rose, then place it there in the sun where it can truly perform for you. I have a number of rootstock roses ("Dr. Huey") that are beautiful in the spring, but do not bloom again after that big spring flush. They get very large, so I will end up taking them out. When I moved here, I dug up and moved a number of my favorite roses. We were in a rush, and did not get the entire root system of any of them, yet all survived the move. In fact, some sat in plastic bags for over a month in the summer. Roses are tougher than you think. Cutting back long roots isn't a problem. Keeping the tiny roots damp is more important.
Your trick will be to move it soon enough that it has time to readjust before winter, and late enough that the days and nights are not too hot. If you choose to move during the hotter weather, cut the plant back and make sure to water. Maybe even shade it a bit with a chair or umbrella for the first few days.
Next year, you'll have to buy that rose some friends! Your picture looks like you have room for several more roses!
