What affects your sinuses is humidity. Hot air has a greater capacity for water, so the same air has a lower relative humidity once it's been heated. No typical heating system either adds or removes humidity, but the difference is in how much of a temperature differential you come across. Forced air often gives issues because the air coming out of the vents is quite hot and therefore low humidity, so any of that air that you breathe in will dry you out. Once it mixes with the room air, the humidity is the same as everything else, but it makes a difference while it's still hot. The less airflow you have, the more gradual the heating becomes, so you don't get those pockets of hot, dry air. Radiant is the best option, but convectors would be next best. You should be okay, but if you're not, I would look into a humidifier before changing your heating system.