Having carried a 3" 624 and a 696, I recommend the 396

Unless you are going to confront something really big and mean the 240 JHP or SWC at 900-1000 fps should do the job.
The ease of carry of the 396 has to be experienced.
And no, there is no weight difference worth talking about between the 624 and 696 due to the latter's heavy barrel.
I do prefer the L frame for it's pointability and accuracy (at least for me).
Unfortunately the 396 will not fit in SOME holsters the 696 does.
The higher front sight makes the 396 a little "taller".
For OWB hip carry I like the Mernickle as the back is almost flat and very comfortable.
This makes it less concealable, but good for rural carry.
I would get one with a restraint of some sort in case you take a fall or are riding.
The 624 Lew Horton holster works well too for the 396 but is rare (but has a strap).
This Mernickle doesn't have a strap:
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Nemo