The only caliber you listed that I am fairly familiar with is the 6TCU. I have a 6mm-223 which is basically the same. IMO, the 6-223 or 6TCU is adequate for deer when using 80gr. bullets, out to 200+ yds., with very good accuracy. I have taken several with mine, ranging from 40 yards to 225yds. Only one ran more than 40yds. Most went down where they stood.
Any of the calibers you listed will work well for deer.
Good shooting,
HL