When I ran TM, I did Power Cleans on my Intensity day and Chin-ups on my Recovery Day.
What day are you doing your deadlifts on? I was doing them on Volume day...so volume day was all about getting my big 3 lifts and not worrying about any assistance that day.
But, I think the way you have it makes since, Both Power Cleans and Press work the traps, and both Bench Press and Chins will add work to the Lats, this way they'd get extra volume in on those days and would get a full rest on alternate days.