I rode earlier today and now I'm indoors, fans on, windows currently shut, blinds shut on the sun side, may open the upstairs windows on the shaded side in an hour or so. Outdoors 37c. Indoors 27c. The book I steal ideas from ("Cooling without air con") reckons 29c moving air is about the limit for comfort at this humidity level. I'd say it's about right.
I did go outside about an hour ago. It's rather like walking into a hairdryer out there. I think I'll wait for this evening and then only sit in the shade!