go get ART therapy RIGHT NOW. this is a bad sign of a problem to come. I have this issue, spent the cash on ART but still have issues (tore the shit outta muscles around my rotator cuff).
I recommend doing face pulls to warm up, and ABSOLUTELY make sure you have an equal number of reps for pressing and rowing. This can be bent rows and then some rear delt raises after benching, but an equal rep count is important. Also, avoid Dbell Power Cleans- they will kill your shoulder.
At the Docs, let them know you are having troubles. They should do work on the front delt, upper pec (that feels AWESOME lol), serratus, rear delt, lat. You can do a little test on yourself by seeing if there is tension in the serratus or the upper pec (abnormal tension, you'll know what that feels like when you feel it).
I'd also recommend hot/cold showers (alternate hot/cold, keep cold on for half the time as the hot, and temps should be as extreme as you can handle. end on cold). Try to blast the areas i mentioned above that might be tight. Also be careful not to get any of the water on the boys
In my opinion, this is the prelude to an injury. I had an awesome fun time with my injury (no squatting, benching, GMs). If you're benching like a moron (ie: traditional bodybuilding elbows out) DON'T. This is going to FUCK you up over time. I'd also drop some or all of your incline work.
IM me if you've further questions, but I'd get on the ART stuff immediately. It's kind of costly, but worth while. Do lots of warm up movements from now on before benching, and potentially before squatting if you find discomfort after those sessions. Drop overhead work (though Bratford presses are great rehab work for you). Also look at EFS.com for some of the band movements for the upper back/shoulders. This will help speed your recovery (Face pulls, band pull aparts). This is coming from personal experience.