I do 4x strength and 3x running. I split arms and legs rather than muscle groups and don't run on leg days. I don't strictly run before or after strength. Depends on routine. Usually I try fit the running in between.

Unless you're pushing yourself crazy hard training your arms and back wont influence running much that day.

Would recommended everyone at least focuses on strenthening stabilising muscles in legs and hips + calves. Running isn't super good at building strength, and when pushing hard can actually make stuff go backwards. All the stuff that keeps your knees and hips aligned is what saves you from injury so work in them.

Doing leg stuff bare foot can be useful in order to keep feet strong too. Although avoid doing that if lifting heavy shit haha.