You should stick to your upper and lower split.
The reason is that it fits your goal of strength and aesthetics.
However, if you do plan to duke it out with strength, then we can talk about RPT.

Why?
It takes time to switch weight plates. (Just changing the plates is already a workout).
You'll be focused on doing major compounds - press, deadlifts, bench press, squats, rows, power cleans, pull ups, and dips. (Of course, we may include some other exercises, but I think these 8 exercises speak for itself.)
You'll have to put warmup into consideration also.
Monday
2 minutes briskwalk/jog/run.
1-2 sets of powerclean with something light 8-10 reps.

Then press - 1 warmup 2 warmup 3 working set 4 working set 5 working set.
3-5 minutes rest (5 minutes)
Deadlift
1-4 sets of warmup 1-3 sets of working weight rpt style.
Chin up (stretches your spine, which is definitely a wonderful feeling to do after lifting something heavy.) It has a weird effect of ridding back pain for me. Dunno must be some weird bro effect.
Wednesday
2 minute warmup
1-2 sets of powercleans -8-10 reps warmup
Bench Press
1-2 sets of warmup, then 3 sets rpt.
3 -5 minute rest
1-4 sets of warmup for rows pendlay, then 3 sets of rpt.
Chins (you know what it's for).
Friday
2 minute briskwalk warmup
1-2 sets of powerclean 8-10 reps warmup
Squats
3-4 sets of warmup 1-3 sets of working weight rpt.
Dips
chins
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At least this is how I'd go about it. None to failure. Just the point before positive failure. If you avoid failure, the fast you're able to recover. But you may allow yourself to have that one last complete repetition that is so difficult to finish before you rack the bar.
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The problem with this routine is it won't get you that big. You know - bodybuilders will always be bigger and symmetrical than powerlifters. But you will be stronger.

Never go to failure if you plan to do rpt. If you do plan to go to failure, then stick to a bodybuilder's routine (aesthetics and strength).