^^^Well, let's play with it a bit
To organize my thinking better I'm going to consider Thursday to be the first day in a 7 day cycle. The reason I'm thinking that way is because it is easier to think of any two-day off period as the 'weekend'..we are already wired to think that way and that is the time where the most fatigue will be dissapated, etc.
So what you have is:
Friday: Bench Press
So, now looking at it as a 7 day cycle you see that you have failed to prioritize push press over bench press and squat. That is, the "whole week" comes before push press.
I completely understand why though because you were probably thinking that running the consolidation two days in a row is not a good idea. Well, it should be fine as long as those days are kept to a minimum with very little assistance work or accessory work done afterwards. We can get to that later, but think of it first like this:
Thursday: Deadlifts and low volume (consolidation is low volume, relatively speaking)
Friday: Push Press and low moderate volume
Sunday: Squat and moderate volume
Monday: Bench Press and higher volume training
This would fit better with the way the body accommodates fatigue and allow you to prioritize deadlifts and push press. You're doing a couple of things: First, you're allowing the greatest period off before your two priorities, and particularly, before your most demanding lift.
Once you get the deadlift and the push press out of the way, you can begin to gather a bit more volume. However, knowing that squat is coming up, you would want to still keep the volume moderate, and then once the squat is done you can begin to do all the remaining volume you have planned for the week. When I say volume I mean all the reps and sets of all the exercises you're doing.
There is a reason for this kind of arrangement in terms of fatigue. When you do the more maximal but low volume lifts, you will tend to "feel" the fatigue very quickly. That is the effects are very immediate, but they dissipate quicker. Actually, this is the thing that makes people think that you cannot do so many singles, etc. because they mistake the immediate after-affects with the long-term accumulation of fatigue. When, in fact, it is the opposite. The fatigue from the lower-volume, higher-intensity stuff will dissipate quicker whereas the metabolic fatigue from higher volume training will take longer.
Remember also that most people do not arrange their training in any systematic way, but only in terms of "muscles" or the exercises they like the best. So, a guy who has been hitting the volume throughout the week and then does some maximal lifting on Friday, is going to tend to think that "I can't do too much maximal work" when in fact he is not taking into account what came earlier in the week.
So, there is your reason for putting higher volume later in the week and lower volume first. The two-day off period will allow more recovery from all the volume THROUGHOUT the week, giving you the best leg up to perform on your priorities, and at maximal intensity. After which volume is gathered in a step-wise fashion, culmination in the highest volume on the last day of the week, etc. and so on.
Maybe i should just squat on Thrusday too and add some assistance work Sat or Sun.
The deadlifts are going to take a while. So after deadlifts I would say just put in some core work and call it a day. Then after push press you can do rows or pullups, something like that, and any shoulder, arm work you might want to do.
Then you're onto squat. After squat you can do a PC exercise and more core work.
Then after bench press you can do another squatting variation if you wanted. Or a single leg squat..you mentioned Bulgarians. And you can do more rows or pulling of that nature.
Keep in mind it is always better to add exercises than it is to take them away. So you could start with a minimum, see how things are going, and add stuff in.
I was going to say strength log but i just think "Powerlifting" sounds cool. :-)
If you said strength log people would think you were dong a journal of strongman log lifting, lol.