Blr243, good powders for economic shooting foreever but all too fast for full power in 357. (he ideal powders are stuff like AR2205, Alliant 2400, lilgun, 300-MP etc)
Of the three bullseye is the best bet and will at least get some sort of velocity.
Complete 357 Load Manual
https://archive.org/details/CompleteRel ... Magnum2004Pistol barrel data. figure on extra couple hundred fps in a carbine.
Page 69-70
Alliant data- Bullseye- 5.6" barrel.
125gn JHP, 8.4 grains, 1550 fps
158 JSP, 6.9 grains, 1250fps.
180JHP, 6.3 grains, 1135fps
Page 22, Sierra Bullet data, 6" barrel
140 gn JHC, 7.8 grains, 1200fps
158JHP 7.2 grains, 1150fps
Factory 158 ammo will probably run about 1700-1800fps from a carbine by comparison so if you want full power buying some is the way to go. The bullseye power loads will still kill within range limitations, Very economical at any rate( 1000 odd reloads for a pound of powder)