I do a lot of hats and this is common. There are two solutions I've used depending on the hat:
1. use koozie/mousepad material with heat transfer tape and build up the platen to fit the shape of the hat, typically most of the material is in the middle since the hats are sort of eggshaped vs round if that makes sense.
2. physically pull on the sides of the hat below the platen to stretch it while pressing down. this is a bitch and slow, but it works. These 6 panel non-foam structured truckers blow hard for pressing and I would try to steer clients away from them whenever possible.