Do you mean a CHE? Cause I am not sure what a "CIH" is.

Ditch the reptile carpet and replace it with newspaper or paper towels. Reptile carpet will get soiled quickly and it is impossible to clean completely. It will start to smell, and that means bacteria is growing. Reusable bedding is not the way to go with these guys.

Do you have the 10g up on the little rubber stoppers that the UTH comes with? The UTH needs proper air flow in order to heat up properly. The UTH should get well over 100*F unregulated so either you are not doing something right or the UTH is faulty.

If anything you should only use over head heating as a supplement. CHEs and lamps will cause your humidity to drastically fall and leave you in a constant struggle to keep it up. You are better off avoiding over head heating as much as possible.