My one word response to shooting between heartbeats is... don't. On the vast majority of shots, the typical shooter will be forcing the trigger break when trying to shoot between heartbeats.
I don't have lots of rifle Benchrest experience, but I shot NRA Conventional Pistol (Bullseye Pistol) for a few years. Many trigger control concepts are universal. I once had the pleasure of shooting next to Brian Zins in a competition, and later taking one of his training clinics. If you know who Brian is, you know he has the results & records to back just about anything he says when it comes to shooting and trigger control.
He teaches that we all have wobble. Period. We're human beings and we cannot stop all movement, simply because of our physiology. With Benchrest airgun shooting, there are times when I do indeed get stabilized enough that I can see my heartbeat causing wobble in my scope picture. This can't be eliminated, and is part of my physiological variability in my shooting. The best I can do is get things down to the smallest wobble I can achieve, then commit to my trigger pull. Once I commit, I start the squeeze and maintain a slow steady increase in pressure straight back until the shot breaks. I've been taught that you never make the shot go off. Slow steady pressure until it breaks. If you make the shot break at a specific time, you almost always introduced at least a small amount of extra wobble into your shot.
This is not to say that with enough time practicing with a given trigger, and getting your squeeze consistent enough, that you couldn't learn when to start your squeeze so that it generally broke the shot between heartbeats, but this would generally only work for a given pulse rate, and this is where our physiology bites us again. Our pulse rate can be pretty variable, and is probably changing throughout the course of fire enough that a consistent trigger squeeze won't consistently break a shot between heartbeats.
I have had better results (not that they're great... just better) concentrating on controlling my physiology (breathing and heartbeat) to reduce my sight picture's wobble as much as possible, then accepting that wobble and applying the best steady trigger pressure I can until the shot breaks.
I think one of the biggest causes of bad shots is NOT aborting a shot that started going bad. We so diligently work to set up a good shot, and when all things seem good to us, we look to actually start the trigger pull, then maybe our physiology changes a bit, but we take that shot anyway. Biggest cause of this for me is my breathing. I work to get my breathing consistent, then I breathe out a partial breathe and hold to start the trigger pull, but if I don't get that pull started quick enough, my body starts telling me to breathe again. If I haven't broke the shot by then, I need to abort the shot. I understand these concepts and disciplines, but it's CRAZY how many times I hold my breathe a little longer (wobble is now increasing) to get that shot off, when I should have simply aborted the shot.