Having spent some time around distance runners, I'll agree that most of them have some misinformed notions around strength training. Which is quite unfortunate, for multiple reasons. But I wouldn't suggest you do anything to create conflict with your coach.
Anyway, if I were to brainstorm a general two day split for a distance runner, it might be something like this:
Day 1
Squat 5/3/1 with BBB or JM
Bench 5/3/1 or JM
- DB rows 5x6-10
- Face-pulls 5x10-20
- Ab exercise of your choice (ab wheel, hanging leg raises, planks, side planks, paloff press), alternate sets with: Single leg glute bridge or single leg back extension, 5 sets
Day 2
Deadlift 5/3/1 or JM
Press 5/3/1 or JM
- Inverted rows OR pull-ups, 5 sets
- Walking lunges, 5 sets
- Ab exercise of your choice, alternate sets with GHR, reverse hyper, back extension, Band GMs, etc, 5 sets
A larger number of sets, with relatively short rests (30s - 1 minute) for the assistance work, to build muscular endurance. If you have access to a weight sled or prowler, you could use that for some of the assistance work - it'd allow you to accumulate some good volume and build some endurance and overall conditioning while being easy to recover from.
If you notice a major difference between the left and right sides during any of the unilateral work, you want to adjust the program to address that more aggressively, as it could negatively impact running economy.
5/3/1 refers to the 5/3/1 program as describe in the FAQ. BBB means "big but boring" where you do 50% x 5 x 10 after the top set as assistance work. JM refers to Juggernaut method, which should also be described in the FAQ (IIRC). Both programs work well to supplement other athletic training. Juggernaut method does take more time, both per session, and to run the entire program.