> I would look at getting a badminton shoe
A couple of my fencers are wearing these:
https://www.amazon.com/dp/B074X3H2B3/ref=cm_sw_em_r_mt_dp_U_F84SDbBQQZMK8
They like them a lot. Under $60, really good stability, good sole, good heel cup and cushion, quite light. Seems like an excellent shoe.