You might want to pull vacuum on both the inlet and the outlet of the columns to try to suck the hydrocarbon out as much as possible. This will only work if your columns are vacuum rated, but since you are handling ethylene and it has a high vapor pressure I assume that your vessels are rated for that. You could try to steam it out. Realize that the molecular sieves (I assume that is how you are drying the ethylene) are going to get very hot. You should calculate the heat of adsorption and feed the steam at an appropriate rate until you have saturated the sieves. If those two operations fail you might be down to something much more serious. You might post a P&ID or vessel drawings to give people and idea of how big your system is.
Regards
StoneCold