I have exactly the same issue with the radio and it's done that since new the day I drove away from the dealership with 15 miles on the clock. I've had a software update which then corrupted the radio completely making it inoperable so was replaced with a brand new head unit but still the problem persists. I've been told by Renault that is a known issue but as yet no fix is known. It seems to happen regardless of whether Bluetooth is activated or not, whether it's DAB or standard, whether there's a large voltage drain... I can't get any pattern emerging other than the fact it drives me nuts and feeling so frustrated that supposedly nothing can be done. It's unacceptable in a new car.
Oh and yes have the same thing with the ESP on crosswinds. I think it's meant to do that (though feels very unsafe) but the noise you describe is exactly what I hear too.
I've got a 15 plate 1.0SCE Play