I recommended something similar to friend who was starting to workout. He was a beginner to weights, but active with playing soccer, bodyweight stuff etc.
- Back Squat
- Bench Press
- Barbell Row
- Hyperextension, Triceps
- Deadlift (conventional or RDL)
- Military or Push Press
- Chinup or Pulldown
- Abs, Biceps
3x a week, like you wrote: ABA, then BAB.
I find it hard to Bench after Deadlifting so the order of exercises is changed compared to your setup. Pairing of push/pull exercises in the same plane is a good strategy.
As for the sets and reps, this is my recommendation for the main (first three) lifts:
Weeks 1-2: 2x10-12
Weeks 3-4: 3x6-8
Weeks 5-6: 2x4-5
Use 2-3 light warm-up sets. Volume is low, given that you’re a beginner. You change the scheme after 2 weeks or 6 workouts, where first pair of workouts should be quite doable (2x12), but for the 5th and 6th workout add weight so you can barely make 2x10. Then use that weight for the first two workouts of 3x8…
Over the course of 6 weeks, weights will increase steadily but volume will fluctuate. That way the first two workouts in weeks 3 and 5 will be easier and allow for brief unloading. It’s one simple way of periodizing.
Whatever workout you chose to do, stick with the basics and try picking weights which will make you work real hard. Even for an intermediate trainer, something like 3x8 with 9RM is quite challenging.
Instead of thinking about more complicated scehemes, try “owing” that simple routine. In other words, keep doing it until you really feel it’s a breeze. Then add a work set or two to each exercise and repeat This mindset is something that has helped me the most with my own training.
Hope this helps.