Thanks for all the responses! I will admit I don't prewash often because I have major plumbing problems at home that limits my water usage and I once ruined a significant amount of yardage with bleach residue in a laundrymat washing machine. I always use plenty of color catchers and if there is a fabric I suspect of bleeding I will spot test, and have always been fine between those two methods.
The quilt itself has already been made, all that is left is to applique the panel down. I think I've decided to just roll with it and see what I get. The amount of bleeding is very minimal, so I'm going to carry on with the panel and just use a lot of color catchers when I wash the finished product.