An easy way to get I2 from tincture or salts is to dissolve in water if not already liquid. Take about ten percent of what you have and set it aside, then acidify the rest until the PH is under 7. (I'm not aware of a reason to be conservative in this.) Then add ordinary laundry bleach a little at a time with stirring until you see crystals starting to form in the liquid. When the liquid loses most of it's color filter out the crystals and wash several times with distilled water. Wearing gloves, carefully fold the filter paper and squeeze out as much water as you can, then wrap the remaining filter paper all the way around forming a little pouch. Wrap this in several paper towels, then again with a piece of an old towel or a rag. Put it between two blocks of wood and squeeze it in a vice for about twenty minuters. If you don't have a vice just put it on the floor and stand on it. Jump up and down, side to side, and wave your arms while singing something annoying. It should be quite dry by the time you finish with the vice, or if you took the other route it should be fairly dry as long as you hit some really high notes while singing.
(Just kidding about the high notes.)
To sublime, pour it into a erlenmeyer flask. Take a test tube and wrap the top near the opening with clean rubber from an old inner tube until it fits snuggly in the flask opening, then cover the rubber with teflon tape and secure with a small piece of electrical tape. Fill the test tube with ice and insert it into the flask and apply low heat. As the ice melts in the test tube remove the water with an eye dropper and replace with more ice. You'll be able to see when all the I2 has sublimed because a clear area will form at the bottom of the flask and start creeping up the side as the heat rises. That's when you take it off trying not to shake it up, until you have it over the container you will store it in. Scrape it loose and you're done.
Vesp, I've never heard of subliming with H2SO4 but it sounds like a great idea! Normally nothing makes a bigger mess then trying to sublime wet I2. That's the best suggestion I've heard to avoid it.
HI is not so easy to make, at least not in usable concentration. There are several workable ways to do it with phosphoric acid, etc. H2SO4 will reduce it almost as fast as it's made, as will HCl.
PP