Hi Katywith, we became gp parents last April and we also live in a subtropical climate. Ours are in two hutches (twice the stink!) but positioned against a sliding screen door that, when open, gives a good cross-breeze with a window on the other side of the room. They're on newspaper and lucerne, we change it every day and we give them a good clean, out in the sun, once a week.
They also go out as much as possible during the day. Outside they can be either positioned on the grass, with one of those clamshell lids over the pen (and a box or cubby inside it) for shade, or we spread newspaper and lucerne on the patio under a patio cover where they it's a bit cooler, if it's too hot. (Or indeed pissing down, as it has been past few days.)
I'll be honest, I used to fret myself sick if they were outside. You'll see advice that any temp over 24 degrees is too hot for them. But my bf had them outdoors her entire childhood and hers survived, and mine have lived a few days where it gets up towards 30. I wouldn't leave them out above that though - when it gets that hot, I either kept them inside or on the patio until the sun went out of the garden and they got grass time 3pm-10pm.
tbh I can't tell you how much difference it would make to their friendliness. Ours were never friendly - squealy 3yo dd comes on like the Godzilla of Love and just terrifies the poo out of them - ds is calmer, quieter, but gps really didn't want to be held or stroked and after a couple of months of daily trying to make friends the kids got bored. They now say hello occasionally. The gps seem to be getting calmer - will now sometimes let ppl scratch them in pens and maybe not bolt quite so fast when we go to pick them up - and I guess at some point, with dd calming down a little herself, we may try some more taming, but I never did figure out a way to do that that didn't involve a ton of work (rearranging furniture to enclose a room so they couldn't bolt, v close supervision of dcs, cleaning up 100s of poo from the floor) so I'm not rushing anything.
My goodness that turned into an essay didn't it! Sorry, and good luck.