I did some research and ended up ordering an MT3 ER32 collet chuck and collet set from Little Machine Shop today.
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Part of the appeal was their reputation and the 3/8-16 drawbar threads on the chuck match my drawbar.They have taken a fair bit of my money, and I've been happy with all of my purchases from them.
And if you do decide down the road that you want the through-bore capabilities of a screw on collet chuck for the lathe, you’re already partway there with a backplate. You’re saving money hand over fist already!
Seriously, you’ve got some good stuff coming your way that is bound to give solid service for a long time.
-frank
Finally an answer to the question asked days ago............................Part of the appeal was their reputation and the 3/8-16 drawbar threads on the chuck match my drawbar.