The price of lime will vary according how far it has to be hauled to get to your Coop. 2 Coops in my area charge $20 and $24 per ton. Try and get the finest grind available. Works quicker. I would suggest planting 3-4 different things in strips. Put a monitor cage in each and see what the deer will go for. Put in more next year of what they go for and cut out any that don't fare well. It may take a couple of years to get a decent plot with soil in that condition.

Russ