If your not riding your bike on Tuesdays with this perfect weather, then there is seriously something wrong with you!
If you want to go fast (or at least practice going fast) try the "Tuesday night PRACTICE crits" : LINK
Meet at the Schottenstein center parking lots at 6:15 and try out several racing styles in the category of your choice A,B, and women's.
If you want to go Slower, (13-16 mph) check out the Tuesday Night Ride LINK
Meet at Goodale park at 7pm.
And if you wana try out a sweet new sport, with a bunch of cool dudes who will loan you a bike and mallet to try it out, Play Bike Polo at the Lane and High courts. Beginners start at 7pm! LINK