Like Holy Mac, I learned that just going to the gym and repeated benching as much as I could fit on the bar wasn't going to help MY chest look like Arnold no how how much I wanted it to. Ken Waller (former Mr. Universe, going waaaay back) relied heavily on flyes for his chest development. Certainly nothing wrong with some intelligent training, and by that I mean exercise selection based on what works for YOU, and even adjusting their order in your training to work around natural strengths and weaknesses.
Additionally, something I found that puts a little LESS stress on the elbow (I've had some issues with my left elbow this past year), is to eliminate the upper most portion of the ROM. Now, I realize that most people don't lock out their weights in order to keep tension on the chest muscles anyway, but I found that by fully eliminating a good 2-3 inches of the movement has allowed me to still move some considerable weights.
Bottom line will simply be to see what feels okay, and what doesn't, but definitely keep the pre-exhaust approach if your natural tendency is to bench with your delts and tris (I'm assuming of course that your form is accurate,... slight arch, elbows pinched etc..)