"It depends..." is really the correct answer. First assumption is that by 'concealed carry' you mean for 'defensive purposes'.
A large frame revolver trades off a lot compared to a similar size/weight semi-auto for defensive purposes. Big cylinders are bulky, and make IWB carry difficult.
I love my revolvers, but winning a fight is a practical equation, and a modern autochucker brings a lot of capability for the same size and weight. If that fight includes Grizzly bears, that changes the equation... thus the "depends"...
.44mag is one of my favorite calibers, but short barreled .44mags have extreme muzzle blast and recoil with full-power loads, which can be a real liability in a fight. I owned a 3" mag-na-ported 629 for a while, and it was the most abusive gun to shoot I've ever fired. The idea of shooting something like that without eye/ear protection still makes me cringe. Adjusting to .44spl mitigates the problem, at the expense of terminal performance, but you're still probably ahead of typical autochuckers, shot for shot.
Evaluate your potential threats, and shoot some different guns. Ultimately, only you can decide what meets your needs, including what is "too heavy".
I'll just add this: in 25+ years of instructing, I've never recommended .44mag to anyone for urban defensive purposes, and only a few times to those headed to remote areas populated by very large predators. Even then, I would usually recommend a .357mag with appropriate ammunition.