If you can run in the rain with out melting then you can bike.
biking isn't exactly like running. I was super muddy from the dirt road. Covered on mud from eyes to toes. I did it... 12.6 miles for my hour long morning ride. I was determined to bike no matter what. The entire ride I kept thinking how good pancakes would taste. Instead I had a big bowl of fruit with some bacon Steve cooked up and was waiting for me on the kitchen counter.