Ben,
Looks good. I'd suggest leaving the sets exactly as you have them, and just switch amongst different exercises once in a while:
-If you want to add BB rows, remove one of the other rowing motions. IMO T-bars are a classic, comparable or better than BB rows, and less hard on the back-it's the best rowing movement IMO, along with Hammer machine rows, another one you should do as an alternative if possible.
-Do lat pulldowns. For variety, switch them with chins.
-Also try bent arm DB pullovers, one of the few real isolation lat exercises; they're great. You're already doing 2 rowing exercises, so substitute this for one of them and see what you think.
-On deads, ensure that the lower back is very well warmed up. I would do them last. A safer alternative is weighted hyperextensions, IMO.
-Experiment with different grip widths and handles-try close grip & medium grip pulldowns and chins, they're just as good as wide-grips. Also try different grips-hands facing together, hands facing away and towards you.
-To progress, ensure that at least the last set of each exercise includes some cheats, partials or rest-pause reps after you reach failure.
Later on when you reach a plateau, try supersetting a rowing and pulldown exercise for a few weeks or months.
