progress with barbell presses contributes to progress with dumbell presses but it usually doesn't work the other way around.
I think that you should do them both, starting with the barbell exercise fist.
Let's see how that workout (pun indended) for chest:
As the benchpressin pressing exercise also tax the delts / tris and the the dumbell presses need some assistance of them as well, i do dumbell flyes to as the SECOND exercise to make sure that with the last exercise (the dumbell presses) the chest is more fatigued than the delts or arms....
Also throw out the cable curls, the peck decks etc, you got to get used to pressing some considerable weight to get sustained growth....
session 1:
- incline benchpress 8-6-12 reps
- decline or flat flyes 10-8-14 reps supersetted with dips
- incline dumbell press 10-8-14 reps supersetted with dips
- flat or decline dumbell press 10-814 reps supersetted with dips
session 2:
- flat or decline benchpress 8-6-12 reps
- incline flyes 10-8-14 reps supersetted with dips
- decline or flat dumbell press 10-8-14 reps supersetted with dips
- incline dumbell press 10-814 reps supersetted with dips
Do a LOT of variation with the incline angles everywhere from 65 to 35 degrees incline angle. I used to think that LOW inclines (20-309) degrees were the key to upper chest development due to less DELT involvement, but acually its the high incline 65-55 degrees that seem to do the trick and YES it does rely a lot on front delts, so the key to upper chest is to have powerfull front delts , so get serious with push presses and cleans....
Dave Draper has an exellent article about upper chest..
http://www.davedraper.com/article-43-upper-chest.html