Bob, I have essential tremor also, much more in my right hand. Since I had played as a kid, pick holding is not 'new' to me, tho' there are times I will hit a string twice when I didn't plan on it. My left has some arthritis (I'm 74) so I have some stretching problems for certain applications, but I'm also stubborn.

What might help is if you learn alternative fingerings for chords and take your time with the pick, it's not a race (wish I'd listen to my own advice!). Get it right first then speed up. Good luck!