Reading your post its sounds as if your (renting) paying for studio time to record your drums. Enginnering your own recording.
I'm not a full time studio owner, but been in this for along time. On both sides of the industry. As a musicain an a recording/mix engineer. So someone that dose this full time for there living will have a better answer than mine. That being said..............
It sounds like you should have worked on your mic placement. You will always have mic bleed, but you should be able to get a good drum mix.
Mic placement is everthing, IMHO. And how well the drummer plays.
I usally spend more time on mic placement with drums than I should.
That being said, I want the drums set up atleast a hour before time to track the drums.
I know that don't help you much now. But I was thinking you might have the time to re-track the drums.
I don't worry about mic bleed that much with drums. I tend to think of it as captureing a preformance. You can use EQ to take out what you don't want, It usally brings out what you want.