Dyed in the wool rayon man over here. I've wicked 'em all: bamboo, ceramic, stainless mesh, and every kind of cotton under the sun. I had a dude I know out in West Texas send me a bag full of organic straight from the field. Still had the seeds in it, had to comb it myself. FWIW, the best cotton wicks I have ever used are a composite of Japanese long staple rolled in a tube in the Scottish Roll technique, with a pinch of Egyptian short staple held in the center. The long staple tails wick the juice to the coil, and the short staple holds it in the place where it does the most good.
But none of it holds a candle to rayon (IMHO, of course.) I honestly don't understand it; rayon is chemically identical to cotton but it "behaves" differently in the coil. I find rayon wicks better-- that is understandable; being extruded rather than grown, all the fibers run the entire length of the rope-- and is more tolerant of heat than cotton. Rayon is more tolerant of wicking error than cotton in my experience also. Pull too little and cotton will pop and spit at you. Rayon does as well, but less so. Pull too much and cotton will "choke" in the coil and stop wicking, giving you a dry hit and a burnt wick. Not rayon. It does not appear to care how much is in the coil. If you can pull it in there and not destroy the coil in the process, rayon will keep on wicking. I am one of those who notices a slight "break-in" taste with rayon but it goes away much more quickly than cotton, like in 8 or 10 puffs. Finally, getting it too hot doesn't give you that nasty "burnt cotton' taste. I have had a rayon wick completely burnt in two in the coil-- ok, so I'm lazy about wicking-- and they kept right on wicking with no dry hits. The flavor was off a bit, but nothing like cotton. I find I have to schedule a rewick with rayon; the flavor doesn't clue me in quickly enough.
As to safety... I don't worry about it much. I suppose, if you pay for sterile, surgical unbleached cotton, it might be safer. But I am convinced-- entirely without evidence, I just believe it-- that vaping rayon wicks is less unhealthy than smoking. That's good enough for me.