Does the closet have a light? Maybe just try running a small che in the light socket. If not hang a hood securely for the che and have a small fan to move the air around? This amazon seller for example has 25w and bigger ches
https://www.amazon.com/dp/B01K7R739Q..._5ZAcAb4MBX6SP
When it comes to electric heating, don't worry about efficiency. Almost all electric heat is near or at 100%.