A simple progressive plan like the following would help:
First, take a week off of pressing. You've probably been grinding away for weeks on end. Take a break.
Second, we'll press twice a week. Monday & Friday, for example.
Third, drop down to a weight that you can easily get 5 reps with. EASY is the key word. That will be the weight we start w/ in week 1. Over the next 3 weeks or so, you'll add a little bit of weight.
Monday: start w/ a handful of warmup sets (5 reps apiece, give or take). Work up to a top heavy set of 5. So, maybe: 5x95, 5x135, 5x165, 2x185, and 5x205. That might be the first week if 5x205 is real easy for you. Alternatively, you can work up to 200 or something, and stay there for 3 sets of 5. So, 5x95, 5x135, 5x165, 1x185, and then 3x5x195 or 200.
Friday: do the same warmup plan but work up to a heavy triple on your last set. The triple should be a few pounds over Monday's top set of 5. Using the above example, maybe you come in and get a triple w/ 210 (or 207.5). After you get your triple, you could do a few lighter weight / higher rep sets if you want. Nothing crazy. Just 2-3 sets to get in some volume. That's it for "chest." The goal is to improve your bench numbers, not beat yourself into the ground.
The next Tuesday, you use the weight you used for Friday's triple but you'll get 5 reps w/ it. Then, the following Friday, bump up the triple weight again. And repeat. After you "ramp up" over a few easy weeks, you should be ready to bust through your plateau.
This is just one idea, but it's basic progressive training. If you play it conservative the first few weeks, you should have a nice running start and be able to push that number up higher and higher week after week, for at least a few weeks. There are all sorts of ways to do it, but that's one simple example. Note that if the bench number is the big goal, everything else really 'interferes' w/ the resources you can devote to it. IOW, if you do 37 intense sets of flies, don't be surprised when you can't press shit 2 days later.