That's what I was thinking whilst reading that. You are best off switching it up a bit. Maybe swap legs with chest (but then you still have the same problem just with Tri's)
Apart from that workout seems pretty standard.
i always go legs in between chest tris/back bi's then do shoulders and traps after back day. There is no perfect system but its easy to get hung up on when to train what. For example there is nothing wrong with doing shoulders monday and chest/tri's tuesday. Sure your gonna use your tri's doing shoulders but
a)They wont be used to their fullest at shoulder loads
b)You can always cut the volume of presses
c)Theres nothing wrong with pre fatiguing a muscle the day before.
With regaurd to C a lot of people overlook this fact, when you are dominant on a certain muscle in an exercise (tricep in bench, bicep in row etc) pre fatigue it (exercise it heavily) FIRST. Although your lifts will drop (put that ego away son, you dont deserve one yet) your body will compensate for the weakened muscle by diverting more focus to the other involved muscles. Its a clever thing the body, very adaptable. What mort trainers do not realise is that a movement is NOT truly a synergie of all involved muscles pulling maximally. In anyone apart from the lifting elite, one set of muscles will likely dominate the lift, taking the focus off the other muscles and preventing the fibres from being fully activated.
Lets take the bench, ill break it down simplistically to say that the 3 prime movers in this exercise are the anterior deltoid heads, the pectoralis majora and the triceps. Others would include lats, medial delts and even traps but for this example ill keep it simple. Lets say you have an effort potential of 200 au (arbitrary units) this is the maximum nervous resources available for the lift. This 200au must be split between these muscle groups to perform the movment however the split need not be even. The body will split the total at its descretion to best complete the lift.
As a triceps dominant lifter your body, unconciously will divert more 'au's' to the triceps. Perhaps an analogy of 'why' is in order at this point. Imagine the muscles as fuel tanks and imagine these au are used to 'fill' these tanks, the stronger the muscle in an exercise the bigger its tank thus the more 'au' can be sent there, a stronger muscle can accept more 'effort' being applied. However you will have more au effort units than you have space for, so lets say that these 'fuel tanks' in the muscles are expandable, once full they will stretch to accommodate extra au's, this is where muscle trauma and growth occur.
So where does that leave us? We are on the bench press, we have a capability of 200au's of effort, this lift is going to be a maximal lift or set so will take 100% of our available effort. Available effort will be (for argument sake)10% above the capacity of the muscles so between them they can accept 180au without trauma. The triceps are dominant so can take 50au each on their own, the pec's are second taking 30au each and the ant delts 10au apeice. So far so crystal. Heres where the difficult part occurs. The body will 'fill' the triceps first using 100au, then fill the pecs with 60 and finally the last 20 will go in the delts. Great! you think, the delts and pecs can squeeze in the last 20au's and stretch and grow. Well that would be easy wouldnt it.
Instead the body chooses to boost the strongest muscle, the triceps, as the overall trauma to the muscle is reduced as it is a stronger muscle to begin with, remember the body is trying to save itself from this damage! Whats worse is that in this example we have shown growth, due to other factors (nervous system functionality etc) it would be entirely possible for the triceps (in the example) to have a capacity of say 120 combined. Meaning that the muscles would all comfortably absorb the effort without stimulating a growth response.
Thus the idea of pre fatigue would be to 'deflate' these 'tanks' by isolating the muscle first. This puts more emphasis on the lagging muscles and helps to bring them into balance. Just try it for yourself, take your dominant muscle group and isolate it (dont destroy it!) for 4 or 5 sets at abou 50% of your 1rm. Then do the compound exercise and i guarantee you will feel the difference. Just dont forget to take 10-20% off your usual lift or you wont complete the sets!