Hi,
I have a 3010 DT with the R4 tires. I have a 70 inch tiller, which covers the tread tracks. I don't think a 60 inch tiller would do that. The manual doesn't recommend more than a 60 inch tiller for the 3010, but I havn't had any trouble. The engine seems to be working pretty hard in tough spots. I have heavy clay soil. I tilled sod, but it takes a couple of passes to get all the grass worked up. I tilled full height winter wheat ground cover without mowing first. The tiller didn't clog and the tractor didn't lug, but the trash balled up on the deepth skids and caused uneven tilling.
Lifting the larger tiller doesn't cause any problems. The HST model has a little less PTO HP than the DT (Manual Trans) so you might have to till shallower in tough or hard soil and till more than once with a wider tiller. But that is a good trade-off against leaving tread marks. You could also consider an offset tiller which would leave tread marks on only on side, but they may cost as much or more than a 70 inch tiller.