"....The DFP-9500D is a direct drive double pedal, with a solid cast link between the rocker shaft and the footboards. The direct drive "pushes" the footboards back on rebound, giving the pedal a quicker response. Many drummers that play heel-down prefer the feel of a direct drive..."
I have, and like, these pedals. They seem to meet your requirements and you can find them for $300 new, if you do a little digging.
I'd suggest trying them first though, to see if direct drive sits well with you.