Not familiar with Andy Russel.
Could you be thinking of Russell Annabell? I remember his stories from Outdoor Life, Sports Afield, Field and Stream, and others. They were the best, he could make you feel like you were right there with him.
You're right, there were some really gifted writers back in that era. The hunting stories really conveyed the "feel" of the hunt, unlike most of today's writers who slip in a plug for some gadget in every other sentence!
A few you didn't mention: Gene Hill, John Jobson, Pete Brown, Grits Gresham, Skeeter Skelton, John Wooters, Byron Dalrymple, Warren Page, and some others I can't think of right now.
Back then I read every issue cover to cover, now it's rare to find more than 1 or 2 interesting articles in each issue.