You'll need an HDV camera for that, HDD and Flash-based cameras will not do it unless they have a firewire port, and I'm not aware of any that do. I highly recommend the Canon HV40 for something like this. At $1k, it's well within your budget and the picture off it is very, very good. I have an HV20, and I use it for all my video stuff. You can search iThinkergoiMac on YouTube to see what I've done.
Something that is the next step up from an HV40 (into the prosumer range) will likely max out your budget, but you could look at Canon's prosumer HDV lines to see what's available.