Brass dies are very nice and will drop nice bullets for you. That design looks very good too - nice flat nose and is long, long, long for penetration. Gas check is a good idea for accuracy and a clean bore.
You can push this to get 2200 fps but I'd keep it closer to 2000 myself. I recommend Lee's .359" sizing die kit which pushes the bullets from the bottom and seats the gas check in the same action. Uses a standard press. This is the best method for accuracy. They come with a bottle of their excellent Liquid Alox as well - which will serve you very well with this - I use it for all of my cast rifle loads and its works excellent - and they are mostly heavy for caliber like this one. Just whipe the noses off the loaded rounds (the lube does you no good there) as the lube is sticky and will gather debris.
I'd recommend using linotype for your casting alloy - you want a tough bullet.
As far as loads, I found a few for you to try with this:
AA2495 start at 43 grains and work up to 46 grains
AA4350 start at 50 and work up to 54
H-380 start at 52 and work up to 56
All should give between 1900 start to 2200 fps tops velocity - accuracy should live inbetween.
As far as the twist rate of 1:16" - assuming that that picture above is to scale and the bullet is 1.25" long, then the ideal twist rate is 1:15" - so, I'm thinking that you will be fine wit 1:16 - pretty close. But this is just based on the Greenhill formula and not my actual experience, so you would be wise to consult actual experience on this point!
Looking forward to some range reports and pics!!