So, I can see all the Real Men ride in their kilt.
Here, that would surely bring a close encounter of the taxable kind. Or worse.
I've got a few ideas on cooling that seat.
1. Cut some airholes, towards the front, and some towards the rear for an exit.
2. Employ some sort of stand-offs where the seat is hinged, and latched, and perhaps the major weight bearing points.
( I dunno how tall, whatever it takes to leave a gap between the seat and frame/side panel to get some air in there. )
3. Similar to Stig's rear fender thingy, to keep dirt from the engine, but in reverse, put in a bent piece of tin or plastic to duct a little bit
of breeze towards the exit from that under-seat area, to enhance airflow and create negative air pressure towards the rear ??
Good luck
redk