Why don't you start by removing the CSV and see what happens? The pump you have won't tolerate much head loss without a great reduction in flow. The correct info for the well would be helpful as well, one post you say the well is 40 feet deep, this one you say the pump is set 60-65'. The pump you have is a VERY Low head pump, and knowing the pumping level in the well would help diagnose this problem. Brand new, this pump will only make 65psi at 60' depth. It would be best to keep the tank in the system, and with a higher switch setting like 45/65, you can probably keep out all the cycling.
I like CSV's and install one on every residential well that I drill, usually use the plastic CSV1, since it is not adjustable and the homeowner can't screw it up after I leave. After greenmonsters's post, I looked at the pressure loss tables for the CSV brass valves, and was shocked how high it was. This is probably the problem.