Try cutting the same contourcut file on the Roland without printing it first. See if you're having some kinda cutting issues with the cutter end of it. If it cuts Okay, then you know its some combination of ink, profiles, saturation, wrong media, or some setting, which usually is part of your profiling.
What you're describing though, sounds like too much ink for whatever reason. Remember, you're adding a solvent to vinyl. Just because there is colorant in it, doesn't reduce the attacking ability of the solvents to the vinyl, thus softening up the vinyl and making it a nightmare to weed sometimes.... even simple squares or circles. Heating could be a part, but I doubt it. Heating is necessary to open the pores for the ink to go into the vinyl and post heat closes them up again..... to a degree. You might find that it will act completely different with another brand of vinyl and be just that simple of a fix.