If it was me, I would turn them in for 2 hours & no more ( only 1 hour for first few days) run them out & feed some bales. After a few days they drive out fairly well.
Why risk several cows?
Neighbor woman counted ears cows ate per number of minutes.
One time I turned my cows into heavy down corn, went to help my brothers place to get his water system unthawed. Didn't make it back for 4 hours, lost 2 Cows from that.
One time I had a semi from rendering company stop in looking to find my neighbor. I heard they filled that truck.
If ground isn't wet, I wouldn't worry about compaction. If you just dump bales out, there will be uneaten hay that will interfer wirh farming. Unroll them, at partially.