This is a very old technology problem with solutions that have worked for the same time period.
1. Use shielded twisted pair cable.
2. Use transformers at each end with the shielding connected to the center tap of the receiving end transformer.
3. Use the largest possible signal level.
For your calculations of the cable loss, make an equivalent RC network with the R being the wire resistance (For both wires) and C the capacitance between the wires. For these short lengths, a one lumped circuit will work.