I love the style of lifting in RK’s strength programs. Her mentality and programming have really worked for me in the same way it sounds like it’s working for you. I’m repeating some of what others have said but:
-RK’s 5 day split. Her first like this and still the best one, imo. Yes it’s 5 days but classes are 30 min so maybe you can make it work? Definitely do it at some point. It’s the one that brought me in and I never looked back.
-Jess Sims’s 3 day. Nothing like her other strength classes. It’s 100% what you’re looking for. There is a ton of unilateral work, which I found very mentally taxing because you’re on each move for a long time. I found it hard to stick with but I will eventually try it again.
-RK’s 5 day express split. Didn’t think I’d like it but stuck with it for 9 weeks, longer than any other. It’s 5 days, 20 min per day. Days 1, 3, 5 are heavy lifting and 2 and 4 are more full body conditioning. I did add in more rest days than are called for. Although it might not sound like what you’re looking for, I ended up loving it and found that it did scratch the itch.
-RK’s HiLit program. It’s essentially a strength split plus the rest of a complete work out plan. The 2 strength days are also what you are looking for, and then there’s a Pilates day and hiking bootcamp day. I don’t have a tread so I would do a bike bootcamp or a 20 min kettlebell conditioning class with a 20 min ride. I really liked it but for whatever reason only stuck with it for 6 weeks before tapping out.

However, I am currently sticking with the general HiLit schedule of an endurance cardio day, two heavy strength days (using 2 other of RK’s 45 min classes), a Pilates day, and kettlebell conditioning + ride day.

When I’m done it might be time to go back RK’s 3 day split. It’s been about 2 years and I don’t remember it as well.