You can also rent a bike if your CJ isn't ready.
Oregon Motorcycles Rentals rents out a Ducati GT1000 for $160 per day. I've considered renting it on a few occasions to just ride a Ducati. They have a two day minimum.
One of my favorite places in Oregon is the Fossil/Mitchell area. It would be a small detour, but the roads are amazing. I'm going to make a trip out there at some point this summer. I've never ridden it on a bike, but I spent a bit of time out there years ago.