Coping with the heartbeat artifact--how?

[ss355]

When I shoot from the bench using magnified optics, trying to print the smallest groups I can manage, one of the things that constantly frustrates me is the slight scope reticle movement relative to the target with every beat of the old ticker--the heartbeat artifact. Despite my position on the gun and the positioning of sandbags or bipod, I can never eliminate the artifact. Consequently, my groups suffer. I've tried timing shots between heartbeats, but I find that usually causes me to jerk the trigger instead of pressing it, resulting in no improvement in group size.

What technique(s) do you employ to minimize the heartbeat artifact in your shooting?

Thanks,
Scott