Head too big for wrestling headgear

I've been doing wrestling classes at an MMA gym and decided to get some wrestling headgear to avoid getting cauliflower ears (and also for a hair cover for my long hair.) I saw that cliff keens f5 tornadoes were often the most recommended so I decided to buy that.

However, trying them on, I realized that the velcro straps it comes with just aren't really long enough for my head. (mainly the bottom one going behind the head and the chinstrap. I can switch one of the longer ones on the top to replace the back bottom one but the chinstrap is still the problem.) I was wondering if I get these cliff keen straps, they would be better to adjust and stretch to fit my head. Has anyone had this issue before and gotten these straps? Or would I be better off trying a different headgear and selling the tornadoes?