What is the best way to lift a mill from the crate onto the stand .
Can I wrap a sling around the head and lift from there?
The best way? Let somebody else do it. Hire a rigger who has all the equipment and insurance, and has done it hundreds of times. But assuming that's not a practical option, some thoughts.
Need a bit more info to be really helpful. Estimated weight? Does the manual show lifting points? How high is up? From what kind of surface? What's your past experience with this sort of operation?
Quantity has a quality all its own. A 300 pound lift is very different from a half ton or more. While 300 lb can hurt you, a slip probably won't kill you. With a half ton or more, that equation changes. In any case, never work alone.
What kind of lifting equipment is available? United Rental often carries a 2000 lb long-arm lift (towable) which can go as high as 10 feet reaching at least 3 feet in (that is, the base is around 5 feet) long. I've used that for lifts of 1500 lb onto 3 foot high stands. The cheaper Northern/Harbor stuff probably won't have enough reach. A gantry crane may work- but is hard to rent and expensive to buy. A hoist from the joists has been used, but remember that approach puts the load on the beams from the wrong side.
I've also built cribs under a machine, using a scissor jack to raise it 3-4" at a time and then slid it over to a stand. And in several cases, just found 4 big guys and bolted 2x4 handles to the machine.. (worked a treat for a lathe bed- about 700 lb). Hit the local Gold's Gym with a few fifties in your pocket, or call a local mover.
The very first thing I'd do is ask the machine manufacturer how to lift it. That should be in the manual- but if not, call tech service and ask.
Good luck, and be careful.