I get a wide toe box... I am female, and just buy men's shoes now.

I find that leather enclosed toes get too hot...that increases burning for me. A different type of upper might breathe better.
you can try rubbing in Biofreeze on the tops of your feet and toes before putting on the shoes helpful... Wait a few minutes until it dries and sinks in. I have also put Salonpas Patches (original type) on the insteps too, at times.