But even NYC to Chicago you have to bounce off several RF base stations due to the curvature of the earth, and each station will add latency. One LEO satellite can probably get LOS to both NYC and Chicago at the same time.
Couldn't you build analog relay stations that add 0 latency if they are for a dedicated (non-switched) connection? Where the receiving antenna pipes the RF through an analog amp and sends it out the transmit side (possibly using filtering to clean up the raw signal)?
Most of they use radio towers, not satellites.