I've been shooting 2 loads through my 3" 44 mag for the last 20+ years and I'll share them with you here.
Both are in a magnum case.
First load uses a Lyman 429244 265g GCSWC, but you can substitute any 250g cast bullet here.
22g W296/H110 and a WLP. This is a 1200fps round.
7g W231/HP38 and a WLP. This is somewhere close to 850fps.
Here's the revolver I shoot them in. BTW, it no longer wears these grips which are round to square conversions. I have RB Hogue wood on it now.