Difference in the characteristic impedance of a low frequency signal
If you can afford to have a delay between sending messages on the line I would do that. As it will ensure that previous messages will have enough time to dissipate. The time needed for the signal to dissipate is depending on the length of the line so experimentation might be needed, but a bit of code can be written that tests reliability of the line with an increasing delay and you stop increasing when the message transmission is reliable. 

Most lines typically range from 100Ω to 150Ω for twisted-pair cables. As long as you have resistors on both ends of the line you should be fine.

For additional reading look at this page as it explains how to deal with the reflection coefficient optimally.