Do they make more accurate or programmable thermostats for baseboard heaters?

Yes. You can now find programmable AND more accurate thermostats made especially for baseboard heaters as most home improvement or hardware stores. But before you go, find out if your baseboard thermostats are single-pole (two-wires coming in from the wall) or double-pole (four wires coming in from the wall). Most are single-pole and not always interchangeable. (A double-pole thermostat will have an "Off" setting. ... more