A turkey blaster..... Thats good!
Well, take your turkey blaster (or suction gun), some new P/S fluid and a jug for old fluid.
Draw out all the fluid you can from the reservior and refill it. Drive it for a day or 2 and repeat. See if it calms down after a few repititions of this. It'll do the seals & such some good. If not, the vanes in the pump are worn and will probably be noisy until the pump is replaced.
The P/S fluid is one of the most neglected/forgotten maintenance items on a car, till there's a problem. Not too uncommon.
GT