35 Whelan: HP37 duplicates the WW231 charges, if you have any. But, for the 168 gn Keith style swc, the book (Lyman) accuracy load is 8 gn of 2400 powder for 700'/sec (from a 6" revolver). With Bullseye, 2/5-3.3 gn gives 660-788'/sec. I'm sorry, but I don't have any charge loading data for Clays. For Unique however, 3.0 - 5.0 gives you 585-913'/sec. With 2400 you can go all the way to 10.5 gn for slightly better than 1000'/sec.
I think the process to follw would be as you specified - get some good grips on that gun first, and then see where your preferred load hits. Once you have reached that point, I would follow the other advice to use some material to raise your front sight to bring your bullet to poi at your preferred distance.
You didn't mention if the revolver was blue steel or stainless. If blue, you can use material such as the 'Cold Weld' compounds, and add a small bit to the top of your front sight, see where she hits and adjust accordingly. HTH. Let us know how it goes. Mikey.