I sucessfully did chest then shoulders back to back for years. Monday Chest, Tuesday Shoulders, Thurs Chest, Friday Shoulders. Of course, this only took me so far before I started to actually lose strength. Once I switched to Monday Chest, Tues Legs, Wed off, Thurs Shoulders, Fri Back my shoulder training improved big time.
I think you will do OK on your routine but it is not the optimal spilt for max growth. Too many of the same muscle trained too close together.