Well, I don't know who Justin Lascek is or what traineatgain is, but not sure why you'd listen to them about the Texas Method. I suggest you buy and read Practical Programming. This will not only help you solve your problem but give you a base of knowledge that will last your entire lifting career.
As far as your template, I think the Tuesday assistance is a bad idea. CG Bench (the day after volume bench) and Chins will affect recovery.
I'd say you should either simplify and do the basic MWF program, perhaps trying Deadlift on Monday if as you say Volume Day doesn't fatigue you. Or if you definitely want 4 days / week, you can try a 4-day TM split. Something like:
Monday: Bench Intensity, Press Volume
Tuesday: Squat Intensity, Power Cleans
Thursday: Press Intensity, Bench Volume
Friday: Deadlifts, Squat Volume
You can add chins and the other assistance work after the big lifts.