There are lots of options in the 1(ish)-4/5/6x category. A couple of important questions are: What are you going to be using if for primarily? Will you be using at night?
The tactical (AR, etc.) market has flooded the industry with illuminated 30mm low-power variable (LPV) scopes, but they may not be the best for your use. The non-illuminated 1" scopes tend to be significantly smaller and lighter. However, they won't be as useful at night and you lose to "red dot" (like) experience at 1x.
Another consideration is that the bullet drop compensating reticles on most tactical models won't be particularly useful for a .44 (drops to quickly.)
There's another thread on here (right after yours, currently) in which we are discussing a scope that is above the iron sights vs. one that is mounted very low. The smaller non-illuminated 1" models are easier to mount low, which is the natural height with a good cheek weld.