I got ya. The reason I asked is because you said it's both your arms AND chest that are lagging. So that particular type of movement should be effective at building both.
I think dips are where I'd spend some more time, and adding weight. Maybe move that to earlier in your workout rather than at the end as a burnout set. Just something to try. Does incline barbell pressing bother your shoulder as well? If not, I might add that in as well.