Hot weather bras for the larger cup, where are you?!?

[doubleristretto]

Possibly this just isn't out there but I know exactly what I want, please help! I'm a 34F and really want a couple of not too expensive bras which are:

Non-padded, nothing to absorb sweat and smell iffy!
Cotton or other breathable material.
Thick enough fabric or enough layers so that nipples don't show through. (I've quite high nipples which peer over the half lace ones IYSWIM!)
Broad back to minimise back-fat lumps.
Pretty or at least not entirely hideous!

Thank you for any help.

I swear by panache. I have a few strapless evie bras by this make and they are so comfortable, don't slip down and you feel like you're not wearing one. They are lightly padded though. Sorry can't help on the cotton front.

Yours do a pink and white striped maternity bra which is 68% cotton by Royce - in large sizes.

My mum wears the M&S Doreen-type bra, I'm not quite there yet! Apparently it is very comfortable and washes well . I've ordered the two cheapest bras on Amazon that seemed vaguely suitable and will let you know when they arrive in about a million years as they were too cheap for Prime. The Masquerade gets very good reviews and the other one is a Le Mystère Envie and seems genuinely to be about £40 apart from the odd size on Amazon. It's not cotton but claims to have light weight, breathable foam and as a nude multiway for the summer for under £8 I thought I'd give it a go! Thank you for the tip about the liquid talc, I'll look it up. I've been using that overnight 48 hour antiperspirant in the fold of the breast as well as underarm and for thigh chub rub and it has definitely made a difference.