Removable Fins Minimum Thickness

I have a board that came out pretty thin in the tail. 1 1/4" a couple inches from the tail. The thickness in the middle of the board is 2.5". Is this too thin to put in removable fins? Are there any options besides glass-ons? Overall, is this thin for an epoxy board? I didn’t really feel like I was taking off alot of foam. But…I don’t know. It’s a 6’3" thruster. Thanks.