How to help peak of cap stay up on display

[HaerrHistory]

I have this cap that sits flat when sitting on my display shelf. Are there any know remedies to fix this.     First pic is how it sits and second is how I want it to sit.

 

[Marshallj]

Have you tried placing it on a mannequin head?

[Brian Dentino]

I use old rags/dish towels/etc. (obviously clean) and just shove them up in the visor body to allow it to keep its shape.  Do that on my visors that sit on torso mannequins I use for display as well as shown.  Yes, I am cheap!