You are paying all that for a new painted faring and all, so why not tell the dealer to put on a new trim kit in the process? Then factor in a price for the old trim kit and sell it as-is, attached, with the old inner faring. These kits are not that expensive anyway. When you remove them you weaken significantly the adhesive backing. Plus you run the risk of creasing them or bending them beyond repair and it's just not worth the time and aggravation.
This is one of those things that I just replaced when I did my inner fairing. It's hard to get all of them off without creasing them, and the chrome rings lose some sticking power once they are reattached. Less frustration to just get a new set off of eBay for under 20 shipped.
The rings will come off easily with a pick tool. The flat piece on the radio costs $15. Don't worry about it. Try to warm it with a hair dryer. Heat gun could melt plastic. Reinstall rings with three dots of silicone