I have a shop specializing in airframe repairs and modifications and have some experience with the issue you bring up. I TIG weld most of the time because as you say, the task requires the highest quality possible. However I am not doing what would be considered "production" work. All the OEM airframes are MIG welded because in a "production" setting it has some serious economic advantages. MIG welding .035" wall 4130 consistently and reliably is much more of a challenge than TIG. It can be done, but I submit that in any situation other than "production", it is a second choice. I use MIG for non-structural things such as tabs and brackets where the speed and one-handed advantages are nice, also in places where access is limited and you can sneak a wire in easier than a TIG torch. Also where the material is thicker, say .058", and the results are more certain. The nicest MIG welded airframes I've seen are from the Kitfox people. They have developed a procedure that works.
My recommendation is a 75/25 gas with ER70S-6 wire. Some use a ER80S-D2 wire. And lots and lots of serious practice with critical destructive analysis to verify the process. Good luck, Scott.