Todd,
Yes! It's one of the 385 engine's dirty little secrets. The starter can sit a little too deep into the bell housing and cause interference with the ring gear.
The problem seems to vary with the brand and type of starter. Some seem to extend a little further toward the rear than others.
What I don't understand yet is why yours took a while to develop the noise - mine, if it did happen, was there from the first start.
The solution to the interference problem is a shim that goes between the bell housing and the starter. Takes just a few minutes to insert if you can readily get to both starter bolts. I seem to recall they're about 1/16" thick, give or take, but thick enough to solve the problem.
The shims are available; it has been so long I forgot where mine came from. DuckDuckGo is your friend
Hope this helps,
Tom