as for who would throw up first, my thought was immediately GA. i love him but, like batman, he's only human.
green lantern was a test pilot and was trained for just this sitch--plus he (and that ring) have helped him past the vertigo of being a space jockey.
flash's body has been conditioned (and protected) by the speed force to be able to withstand a lot more sever punishment than this.
likewise, aquaman's body/muscles/ears have been sculpted to withstand the tremendous pressures on the ocean floor--i don't think something as mundane as spinning is gonna affect him.
martian manhunter is a shape-shifter and possess a totally different physiognomy--do martian's even get dizzy? and if they did, couldn't he then adjust his own inner ear to neutralize the effects of the wheel?
wonder woman--i would imagine that amazon training prob'ly puts test pilot training to shame. if you were a malicious amazonian drill sergeant wouldn't you devise the test that suspended a bound recruit upside-down from a rope and then wound it up like a yo-yo and then let go and let her twirl around at close to mach speed 'til she passed out? i know i would. amazon up, ladies!
leaving green arrow. as i said, love the guy, but he's just a man. maybe he's trained himself to be one of the toughest, athletic specimens on the planet, but that boston bite chilli you had for lunch is comin' up, ollie.
that's it for now~!
smell ya later!