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Look into Accustat's. You can install whatever heat/cool bulb in them that you want. Their covers lock and the tenant would have to unlock cover and jump contacts to override the system. Other than that, too many factors to take into consideration for the increase in energy consumption to address online. Could have a short, dirty coils (reduced air flow that would cause unit to run longer to reach desired temps) or could have an open circuit on your secondary heat strip that would cause the first strip to run constantly. Hope this helps and that you get the problem resolved. If you are able to lock in a rate on your electrical consumption per kwh that can help when rates get volatile.