RE: 300WSM Modle 70 Grouping
Slow down, trying to do too much in one day.
Tell us exactly how you clean your gun, and with what.
Stainless guns take longer to Break-in, but inversely take longer to wear-out. This is a factory barrel it could be quite rough, taking a lot of effort maybe even lapping to break in.
Every gun handles heat differently, yes it is possible heat is your issue but i would not jump there.