This is the method I like:
1) Bench 3x5 +5lbs until significant stall (i.e. not 5,5,4 -- just repeat in that instance)
2) Don't reset, Switch toBench 5x5 +5lbs until significant stall
3) Don't reset, roll back 2.5lbs, Bench 5x5 +2.5lbs until significant stall
4*) Reset 8-10%, Switch back Bench 3x5 +2.5lbs until significant stall
5) Don't reset, Switch to Bench 5x5 +2.5lbs until significant stall
For press, you could just replace 5/2.5 with 2.5/1.25 or 1.
*This is where you could institute triples if that's an interesting path to you. This would extend the run even further without having to reset and may be a good idea. Avoid resets if possible.