Question 1:
Is it a good idea to use a pressurized water storage tank in the basement for a pump and dump open loop system?  Or would it be better to bypass the water tank and pull directly from the well?  Since my project would need a storage tank anyway for other uses in the home, I am wondering which way the geothermal system should be plumbed.  I like the idea of the storage tank because it would give the pump a rest but I do not want to lower the efficiency of the heat pump by the basement affecting the water temperature in the tank.

Question 2:
How far apart should the two wells be for a pump and dump system?

1) My opinion is as long as you maintain required GPM, the heat pump doesn't care. If water is standing in basement for a time then it could cause nominal benefit in the winter and cause nominal loss in summer; wash.
2)When you ask about wells, I presume you are referring to an injection well. Won't emabarrass myself (as I often do here), I'll defer to the moles (drillers).
Good Luck,
Joe

I think you mean pressure tank not storage tank. All manufacturers want to maintain pressure in the coax coil during the office cycle to minimize scaling. Here on the east end of Long Island NY Ive seen about 50/50 pressure or no pressure. We do have good water quality though. So check the quality of the water in your area first.