@Rufio - congrats on the new job (whatever it is)
warning tl;dr coming up.............
here's the thing about Westside and why it works.
By the sounds of it your training routine is a highly disciplined and well-laid out power oriented bodybuilding routine and I suspect you're counting every calorie. nutrient and timing your meals like a bodybuilder (you're a disciplined mofo) and lifting according to strict routines.
I suspect that the only weak point with these bodybuilder routines is that you can't get bigger,stronger and stay leaned out all year round because you per iodize your training (bulking then cutting etc...) That's good and it works, but IMHO there are better ways
having said that Westside is flawed, as you mentioned. They have routines that if carried out to their true. strict rigorous application wouldn't work without steroids. They essentially apply Russian Olympic lifting principles into the 3 power lifts and their objective is to compete. Don't underestimate how powerful there guys are raw - they are all powerhouses but their passion is too win meets and set records and you can't do that without learning how to use the equipment.
In the world of powerlifting in general however, the equipment is a HUGE difference. The best raw bench in the wolrd is probably in the high 700's, maybe an 800 and change. The world record is over 10000 pounds and change, heading to 1100. Without equipment the human physiology just won't get that far
Here's where I think you could benefit
1 - Westide has some great theories that work on natural bodybuilders. I saw a guy who weighed maybe a buck 80 raise his dealift from the 400's or so to somewhere in the low 600's and it was absolutely natural. It took him longer, harder work and he had to skip some of Westside's techniques but it was amazing
2 - The core concept behind Weestide is that you should be running mini strength sycles all year long and varying t th exercises and support lifts while always beuilding explosive power. Their philosphy on getting into a heavier weight class is to add a few bodybuilding bulking exercises
3 - No matter what - if you eat clean and lifft right, you can very easily lose fat and build muscle. Its so much simpler than you think. You know how to eat - if you change the exercises your body wlll rspond accordingly - you'll get bigger, stronger and more shredded while your diet will determine how you look Read Brad Pilon's book on how much protein and food you really need to gain mass. It isn't as much as you think
Avoid all the high caloric foods and don't overdo protein (it converts to glucose and spikes insulin) and you will keep your Statue of David lower abs and get bigger where you want to.
I might have left a few things out but the backbone of Westisde lifting - 1 light day one max strength day for both upper and lower body is very sound. Add in a day for anything you feel you might be missing (metabolic circuits, kettlebells, abs, shoring up biceps) and I think you'll be surpriised with the result and pleased at how fast the workouts are - given your schedule.
As for grip - IMHO (since grip is my problem as well) make that extra day a grip training day and add in grip exercises throuhgout your training - farmers walks, static finger rolls. Read anything by John Brookfield or John wood for that and use the Captains of Crush grippers to get amazing resuts.
Its blasphemy to say so but if you're trainng and not competing, crossfitting or anything like that - use the straps until your grip catches up - so log as you don't slack off on hard grip training on other days.