Run for Shelter does allow runners with strollers with some restrictions: you must start at the back of the pack, you may not weave through packs of runners, and you must always yield the right of way to other runners. Bottom line, as long as you run/push responsibly you’re welcome to bring junior along for the ride!
Note: Children in strollers do not need to register. In addition, do not have your child wear a timing tag if he/she is catching a ride. That tag will read that your two-year-old ran your speedy time and cause confusion in the results!