The only thing that will give you a flow in a closed loop system is the pump, and that will only add it's energy to whatever the suction pressure is. If the pump has 60 PSI discharge pressure when it has a 40 PSI suction pressure, then 20 PSI differential is all you're going to get. If you increase the suction pressure to 100 PSI, you'll have 120 PSI discharge. Differential pressure is the only thing that will give you a flow. The higher the delta-P, the greater the flow in a given piping system.
If more flow is required, the you need a pump with more GPM, at whatever head is required to overcome the resistance of the system. Watch the velocity in your piping, as you can quite easily encounter erosion problems in a system that constantly circulates.
If you add an open tank to the system, you'll require a LOT more pumping power to get the same flow, as the pump will now only have whatever suction head is available from the tank.
What exactly does this system do? If the water is being heated, you can have air popping out of solution, and collecting at high points in the system, unless there's an air separator installed in the proper location in the loop. It also matters where the make-up is fed, etc.