Nas, that's 56 sets in one day during the 5's, assuming you are doing both wide and narrow chins and rows. 42 sets for the 10's. Sounds like an awful lot to me. I keep my total sets about that for the whole week! I think doing more than 15 sets per gym visit is too taxing. The cycle I started today consists of 13 exercises of 1 set each, done giant set style by bodypart, 3 times per week. Each workout takes about 45 minutes and is plenty for me. If you don't leave the gym feeling like you could do another 1/2 round of what you just did, then you are probably doing too much which will lead quickly to RBE and stagnation. Here's my total workout:
Incline DB Bench Press
Dips
Flat Bench Flyes
Seated DB Military Press
Shrugs
French Press
Wide Grip Pull Ups
Close Grip Chin Ups
Seated Rows
BB Curls
Squat
Deadlift
Leg Extension
The above is seperated by giant sets with no rest between exercises within a giant set. I do 15 reps on M, 5 on W and 10 on F. I start at 80% of max rep and end the 5's at over 100% of my previous 5 rep max. So I am working close to or on my rep maxes a lot more often than the typical HST program. SD is necessary after 4 weeks as it is very strenuous.
I don't advocate that cycle for beginners or even intermediate lifters. It is merely meant to show that even an advanced lifter doesn't have to live in the gym to get where most people want to be. If you want to be a pro, you obviously have to workout more and take a lot of juice so that your body can recover from the volume.
Back to your workout. I think it would be best if you added in dips, and deleted lateral raises and rear delts and do just one set of chins and one set of rows. Do one set for the 15's, 1-2 sets for the 10's and 2-3 sets for the 5's, depending on your fatigue level. You can limit the curls and pushdowns to 1 set each as your arms will get plenty of indirect work.
Just my $.02.