Snare-
Batter: Remo Coated Ambassador
Snare Side (Reso): Remo Ambassador Hazy (Ambassador Snare Side)
With this combo on your snare, and right tuning, you can get just about any sound you want out of it and make it sound damn sweet. Wet, dry, fat, a crack, anything. And if you need muffling, you can just slap a Moongel or studio ring on it, as opposed to pre-muffled heads with dots and such where if it's too muffled, you can't do anything about it.
Bass-
Batter: Aquarian SuperKick series/ Evans EMAD
These two lines of bass batters usually get the most low end, fat sound with the least amount of added effort. The EMAD is a safer choice, with the muffling not permanently attached to the head. The SK series has its followers (like myself) that swear by it, so it's definitely a great set of heads. The only potential flaw being that the muffling is permanently attached to the head, so if you don't like the muffling, that's $50 wasted.
That being said, the EMAD would most likely be a better choice for you, with it's variety of options.
For these heads, the single ply versions are probably your best bets, as the 2 ply versions either work stupendously or sound stupendously like a dead cardboard box. They are more durable, however.