Create me a new Logo for my martial art school

Im about to start a new martial art school. The name is gonna be Alpha Academy Zurich.

We got the Idea of a Lion with a belt bellow, we got already like a pre design which you could use
but if you got like another idea we are absolutely welcome to see and discuss if this could match 🙂
The idea is to spent 100-200 CHF / $ /€ its negotiable