An additional comment that came up in a PM reply:
Send a packet multiple times until the sender gets an ACK in the form of a correct CRC. Once the packet is decoded place the entire recorded signal in the A matrix, the decoded signal in the y vector and solve Ax=y for the deconvolution operator that best transforms the signal into the corrected packet. Use that operator to deconvolve the next packet. Do that with each packet so that the propagation inverse operator is constantly updated. Effectively it should be diversity reception from a single antenna.
Not sure how well that would work at HF, but it's a minor variation of standard practice in seismic processing to eliminate water column reverberation.
Have Fun!
Reg
