Going to agree with most other posters--avoid the burn outs and stick with 3x5 and/or 5x5 for exercises, and/or vary the routine a bit (either by reducing the weight and increasing the reps for a little while, or swapping out exercises, such as the suggested DB rather than BB press for flat).
Anytime I hit a plateau, I'll run through a six-week flat bench routine that essentially does most of what I just typed out above: the first week begins with a significant increase in volume and decrease in weight compared to my normal workout, but by week six, the final couple sets are in the 1-3 rep range. I've yet to go through that routine and not have it increase my bench by at least a few pounds (which, when you've been lifting for a while and would like to maintain a set body weight, can be tough to do).
Also, sometimes it's as simple as finding a spotter (I typically workout alone), throwing an extra 5 lbs. on regardless of how many reps I've been doing at my previously-max set weight, and just seeing what happens for a couple weeks. Anytime I change gyms, I have a (probably mostly mental) adjustment period during which I lift a good 5% less on pretty much every compound exercise. My current funk actually stuck around for about 6 months, but essentially forcing myself to go back to my previously-normal weight amounts helped pull me out of it.