I have shot lots of deer with 139 Hornady Interlocks loaded to just over 3100 fps over Reloder 22. I have used IMR 7828ssc with Nosler AB and it shoots extremely well, also.I do not push them to max, as it is not really necessary and I take pitty on the barrels of my rifles!
For 160 and 175-grain bullets, I really like Reloder 25 and Reloder 33,but about any of the slow powers will give you good results with the heavy bullets.