It's kind of hard to answer without knowing a few things. Do you have a UTH? Where exactly is the thermometer probe that is giving you the hot side reading? Do you have a thermostat?
With the lamp, the hot side is a little hot. Without it, it's a little too cool. Night drops are unnecessary, but not bad. Covering the top, or at least most of it should take care of the humidity. There's a how-to on it using foil tape, but I have no idea where right now. It's not exactly complicated. You can also use plexiglass or plastic wrap. Also get a squirt bottle and spray a fine mist of water on the inside walls of the glass. Try not to get the substrate damp as it could mold or rot. Some suggest covering with a wet towel, but I'm not fond of that one. It eventually dries out, most of it's humidity will rise, it can grow bacteria/mold and smell.