A ramp heating system is practically the only sensible application for this type of trace heating, as it is necessary to prevent material and personal damage.
In a single-family house, it goes beyond the mark. Where is when you need him? Here, resource wastage is planned to the tenth power. for your case, a small heat pump is perfect, because yes, the heating you have in mind does not actually warm up but is only sufficient for melting snow and ice. I had exactly the same project in the summer where someone built it the same way: a conservatory with a heat pump. You definitely have to insulate the floor, with or without additional heating.