The ASA rules don't use the term "fielder's choice," but they do have similar definitions under "A BASE HIT shall not be scored:"
It's the attempt to retire another runner that makes the "fielder's choice" a "choice." I can't see the OP as anything but a hit or an error.
A. When a runner is forced out on a batted ball or would have been forced out except for a fielding error.
B. When a player fielding a batted ball retires a preceding runner with ordinary effort.
C. When a fielder fails in an attempt to retire a preceding runner and, in the scorer's judgment, the batter-runner could have been retired at first base.
It's the attempt to retire another runner that makes the "fielder's choice" a "choice." I can't see the OP as anything but a hit or an error.