I have an opportunity for a store to carry some of my products, but we are thinking that the cookies, bread, etc. would have to be frozen and put out as needed. My labels that I print on my home printer bleed as the product is being thawed out, so I know I need to try something different. I'd appreciate suggestions!

Do you print your labels on an inkjet printer? If so I would recommend a laser printer instead, we've never had a bleeding problem with our custom labels, printed on our color laser at home.

If you don't have access to a laser printer, you could laminate your labels.
If you don't have access to a laminator, you could cover your labels with a piece of clear packing tape. (They wouldn't need to be labels then... you could get away with plain paper or cardstock.)

If you have your labels made for you at the local printer, the colors won't bleed. Also, if you have them photocopied at a place like FedEx/Kinko's, the toner won't bleed.