Feel free to include DL's twice a week, every week, and make them the first order of business in your workout. That is, start with DL's, as this is a major mass and power builder. No reason to have them last, like in the program you listed, with some of those other unneeded exercises. The usually position for power rack partial DL's is little below knee height. Lot's of guy's have trouble with the lower back when lifting from the floor, that's the main reason (shin hitting & extended stretch, leaning too far forward also, etc) for beginning from a higher position. No benefit of doing DL's will be lost if training for muscle size, unless your a PL'er who's main concern is a total lift. Remember that with DL's, you are holding the bar in a stable position, while the lower body does the actually raising to a standing position. Might even try setting the pin's on the rack to about 3-4 inches from the top and start the exercise from there. A great total power and size builder. Most guy's will use at least 100lbs more than a normal DL. That would be included with the knee starting position in the workout.
Might try:
DL...if you do the over/under hand grip, might try the overhand grip only.
Chins (or pulldowns if you prefer)...curl grip..most affected exercise for hitting the lat's directly
3-4 set's of each. 7-10 reps. Back doesn't need a lot of set's, just heavy basic exercise to add impressive thickness and depth, and rather fast at that..Just train with serious intent. Those 18 set's you have listed can be counterproductive and a waste of gym time. Good Luck.