Possibly try a sports stadium or conference facility where the kitchens are not utilized all the time?
Report Merryck's answer
Also, look for "co-packers" who might be willing to let you use their facility. You may find that they can be of other benefit to you as well.
Report Carolyn's answer
Check out the website: http://www.sharedkitchens.com/. They are in Suwanee, GA. They do have some limitations on products containing over a certain percentage of meat if you're selling the product wholesale.