I think you have dug yourself a bit of a hole with the way you have gone about it ie not using an Electrician (and the notification part)
All I will say is you might be able to get round the problem of it being too close to the surface for it's power by using a transformer to lower the voltage, possibly to 110V, and thus lowering the power to approx. one quarter.
This would possibly give you some warmth through the tiles in conjunction with the thermostat, but
This is only a suggestion and should by no means be carried out by anyone not competant
All I will say is you might be able to get round the problem of it being too close to the surface for it's power by using a transformer to lower the voltage, possibly to 110V, and thus lowering the power to approx. one quarter.
This would possibly give you some warmth through the tiles in conjunction with the thermostat, but
This is only a suggestion and should by no means be carried out by anyone not competant