That's why I strongly recommend the ceramic type of heater. They have no glowing elements and remain at most warm to the touch. Safe for children and pets and won't harm nearby objects with intense heat. Best of all, the ceramic controller is self limiting as far as electrical current is concerned - if it begins to overheat for any reason, the electrical current draw goes DOWN rather than up (as it does on a wire coil heater), so in effect it shuts itself off if there is a problem. Much safer. They only cost about $10 more than the traditional electric heater - typically about $40.
We have a Holmes 1-Touch which is a bit taller than some other models but silent in operation. You have to get within a few feet of it to hear it at all and it is still only a low hum. I don't much like the electronic thermostat, which offers only 5 degree increments (65, 70, etc), but the silent operation is a huge plus in the relatively small space of an RV.