The Avon Roadriders and Bridgestone BT-45 are premium tires for a bike that has the suspension and rider tuned for best performance. Most will do well with the Shinko 712. I've got this thing against cheap Dunlop 404. I believe one could buy a tire that is less expensive and a better performer, like the Shinko, but I haven't tested every tire on the planet. Right now my goto tire is the Shinko 712. Motorcyclesuperstore sends them right to my door in a couple of days, and free shipping over $90!
Since your bike is "Bobbed out" the performance will be compromised anyhow so maybe you'd like a cool looking tire for the back like the Duro dual purpose in 16".
Tom