Wade,
There are many approaches to your dilemma, as there are many combinations that MAY work out well.
Here are my recommendations, based on my experiences. I will adress bullet selection first.
If you choose a jacketed bullet, I would reccomend nothing less than a 180gr bullet. The reason for this is they have beter sectional density, thus better penatration. They also retain velocity better, compared to lighter bullets.
There are 2 good bullets available, 1. Hornady XTP 180gr. HP 2.(believe it or not) Remingtons 180gr SJHP. This bullet is available at
http://www.midwayusa.com/ (I took a nice doe with this bullet, heart/lung--complete broadside pass through.
A hardcast lead bullet with a wide flat nose in 165-200gr is hard to beat. They're good bone crushers, make a nice wound channel, and are deep penetraters. They are quite affordable and well made, available from Leadheads,
https://www.proshootpro.com/ I purchased some of the gas checked 200gr bullets and they consistantly chronographed at 1215-1223, thats 8 ft SD. His bullets were never more than .05 of a grain difference in weight (dillon electronic scale).
The muzzle energy is 661 ftlbs, with 435 ftlbs remaining at 125 yds. This load yeilds an impressive(for a .357)
542 ftlbs at 50yds with a Taylor KO index of 11.3 (NOTE: 50 yds. IS THE LONGEST SHOT I PERSONALLY WOULD ATTEMP WITH MY CAPABILITIES).
I will be testing A 165 Keith style hardcast lead bullet from LEADHEADS,
https://www.proshootpro.com/ I will post results in about 2 weeks.
As far as powders, I cannot disagree with the other posts on powders. I can suggest one that has outperformed the others IN MY FIREARM. I had ben hearing a lot about Vihtavouri powders in the past years, so I decided to try some N110. It is a very small grain extruded powder which gives excellent ignition in cold weather. Well, to my suprise it worked better than I had expected, and I have found none more consistant. I have also used thier rifle powder. This powder works so well for me that I will eventually be using this brand for all my reloading needs. It is more expensive than the others averageing 22.50 a pound, and it comes in 2 lb canisters so it will set you back about 45.00 for a canister??? .
This is the best I can help you at this time, my shooting was done with a S & W 686, the barrel was 6.5 inches. Due to different tolerences in firearms , and different loading techniques, results do vary.
The Best of Regards, Todd