Upper/Lower could work, but personally if I were going to go the "2 way split" approach I prefer Push/Pull instead as that would allow less carryover between workouts. You also don't need to perform the exact same exercises in each workout in order to hit a muscle 2x per week.
So, you could put Conventional Deads in your first Pull workout, Front Squats in your first Push workout, then Rack Deadlifts in your second Pull workout and Back Squats in your second Push workout.
When structuring a Body part split to hit muscle groups multiple times you want to think about exercises which place secondary emphasis on muscles. For instance, you could do:
Mon: Chest and Back (shoulders and Triceps are automatically hit secondarily as are Biceps and Brachioradialis/Brachialis, and you can even add in some leg secondary emphasis by including Deadlifts and as always core is automatically working)
Tues: Abs/Core, Forearms and Calves
Wed: Quads and Hammies (secondary emphasis is placed on the core and Calves depending on your exercise choices)
Thurs: Shoulders (secondary emphasis is placed on the Triceps, Upper Chest, Upper Back, and even Biceps if you include any Face pull or Upright Row variations)
Fri: Arms (Secondary emphasis is placed on shoulders and chest if you do any compound pressing for the triceps and forearms while performing Biceps, you could also of course throw in a compound pull which you feel hits your Biceps well which would hit your back secondarily)
It's not as much direct work for each muscle group as a 2 Way split, but there is still a decent amount if you are pushing hard.
There are of course lots of variations on how to do this and manipulate frequency (all of which I don't have time to write out ATM), but hopefully this will at least get you started/thinking for yourself on how you might do this.