So, I went to Steve's Digicams to see what they had. The Nikon D2H seems pretty nice. It can take pictures at up to 8 fps for up to 40 pictures and a 37ms shutter lag time. No problesm with speed, there. It's also an SLR so you can attach many and interesting lenses to it. It even has 802.11b connectivity so you don't have to deal with silly things like cables. Of course, the big problem with this camera is the price. It actually hasn't been released yet so there aren't real prices but it's looking like it will be $2750–3000. As you might guess, that would be a bit much for a camera.
A camera that is still rather nice but less ridiculously out of my price range is the Nikon 5400. It can be made to be fully manual, fully automatic, and steps in between. It even has a shutter lag of 1/10 to 2/10 of a second if you turn off the LCD preview. I could deal with those speeds. I like the camera and I'm hoping that it will drop in price more. When I was shopping around for my Nikon 775, this camera's predecessor was about $1200. If this one drops in price like that, I might actually be able to afford it.