An N-frame is an N-frame is an N-frame. Doesn't matter if it's a 627, 629, 27, 28, 24, 625, etc. It's an N-frame.
A G,
Find an N-frame to try in your hand first to decide. Even if it's a .44 Magnum or a .45 ACP, the trigger reach will be the same as the 627. I wear a medium glove for the most part and find I can manage a large frame S&W OK, though shooting it Double Action is a reach.
A K or L frame is much easier for me to get a good grasp on and manage in fast DA shooting. This puts you in the 6 and 7 shots .357 class (Model 19, 686, 66 ). A K/L frame with stocks like a set of Ahrends smooth tacticals or a Hogue monogrip feels almost perfect to me. The key I find is not covering the backstrap (metal frame at the rear of the grips); anything that covers that gets too bulky for my hands on the medium frame, I couldn't even dream of adding them to the large frame.
Oh, and because I like this picture, even though it's posted in another thread on here as well:
Top to bottom: Model 18, K-frame .22LR, Ahrends smooth tacticals in cocobolo, Model 19, K-frame .357, checkered Hogue monogrip, Model 586, L-frame .357, standard S&W service stocks (actually originally on the M-18. I had to take the Pachmyer grips that came on the 586 off because they covered the backstrap and were too bulky for my grip).