@garebear , a friend of mine confirms that there is a studio ("demo") version of George Harrison performing "It Don't Come Easy." He also confirmed that it was never commercially released; so, finding it on a bootleg (which is what he has) looks like your only option. A record show is probably your best bet for that; so, hopefully there are some shows that are near to where you live. IF you were to travel to a record show, the shows in Austin are the best that I've ever been to.
My friend, who is a massive Beatles fan and collector, said that the general belief is that George initially wrote the song (thus the demo version) and then gifted it to his friend Ringo. From there, they both collaborated on the finished product.