Your M70 7-08 is a perfectly good rifle now just as it is. It would be a waste to change it to some other chambering.
There are .358 Win rifles for sale. Ruger made some recently in the M77 and thats a good rifle.
I have hunted with the .358 Win since 1966 and have taken deer in the North East with the round. I have M99's, a M70 Featherweight and a MS so chambered.