OK. My logic for the below is you're interested in aesthetics. I guess you're like 95% of people and this is your main goal despite the fact you try to not sound vain by saying you want to be strong. We're all the same. This means you need arm work and back work. It probably also means you don't want to squat 5x5 every day. 3x5 is plenty if doing it every session. Alternatively have one 5x5 squat session and have a 1x5 deadlift session.
The below is a linear progression plan. IF YOU ARE NOT ABLE TO INCREASE WEIGHT SESSION ON SESSION YOU SHOULD FIND A PLAN WHICH DOESN'T NEED THIS. Such plans are more complex and just follow a well known one. The fitness subreddit has plenty of options here.
If you are able to progress linearly try the below. It focuses on upper body and I guess is more in line with your actual goals but has enough lower body for you to progress fine.
You'll be benching and OHP every session, one heavy and one volume. This should be fine to recover from provided you have diet and sleep under control. It has back work because a big back is very important for aesthetics, and it has plenty of arm work which you'll be wanting.
It should be doable within your 90 minutes.
For stalls my suggestion is increase weight anyway, so 10x3, then 7x4, then 5x5. Takes 3 workouts for each lift to go up (so 2 weeks overall) but this heavier lifting combined with the volume stuff the other days will help you progress.
Start lighter rather than heavier on the 5x10.
You won't be able to do this indefinitely. Then you'll need to go on a proper intermediate program.
The above methodology has worked very well for me in the last 3 month. I find most beginner programs too low volume. However, you are not me, you have different circumstances and it may not work for you. If it doesn't, get on an intermediate program with set reps and percentages.
Workout A
Squat 3x5 (15 mins inc warmup, 20 if you need to do shoulder mobility)
Bench 5x5 (20 mins)
Barbell Rows 5x5 (10-15 mins)
OHP 5x10 at 50-70% of 5x5 weight, shorter rests (15 mins)
Chin ups supersetted with dips (3 to 5 sets totalling at least 25 reps, assisted as needed, mix up heavy sets of 5 and lighter sets of 10, 10 minutes)
Any other quick accessory eg Facepulls, curls. Superset them. Superset all your accessory stuff.
Workout B
Squat 3x5 (15 min)
OHP 5x5 (20 min)
Deadlift 1x5 (5-10 min depending on warmup)
Barbell Rows (3x5, lighter weight than workout A if back is tired, don't try to progress this session, 10 mins)
Bench 5x10 at 50-70% of 5x5 weight (15 mins)
Chin ups superset with dips (10 mins)
Other stuff as needed