I use the trim like I use force-trim in real life, I hold down the trimmer button until I get the helicopter where I want, then release it. Then I only have to apply pressure against the stick to make minor corrections.
Of course, my Saitek X52 (non-force feedback) returns to the center spring-loaded position, and any movements after that will be from the "new center". However, I find it's a lot easier to fly precise maneuvers when you hold the trimmer down the entire time, and release it only when you return to stable flight.
A lot of helo pilots that fly with force-trim aircraft have different techniques. Some will set the force-trim on their cyclic at straight and level flight, and then fight against the force-trim throughout the maneuvers. The logic is the cyclic will always return to a position consistent with stable flight. Other pilots will "bump" the force-trim, or tap it how you described.
I have a rubberband around the column of my X52 that I sometimes loop around the "adjustment screw" on the front side of the handguard, and then loop the other end around the plastic base of the spring. This eliminates the spring-resistence for most of the sticks travel (depending on the tension of the rubberband); the bad-side is you have to keep your "hand on the cyclic" otherwise it will just fall forward, sending you into a zero-G nose dive.

PS: I couldn't hit the broad side of a barn with the rockets or fixed gun until I started holding down the trimmer button during my attack. The problem with this is you need to map both weapon triggers to your joystick trigger itself, no "pickle" buttons since your thumb is occupied during the engagement. Just my technique anyway.