I just went through what you're going through lol.
1st bold - Heating lamps suck up humidity. With that said some people(like me) have to run one on the cool side because the house is cold and the snake is in a room used by people. If this is the case use an infared bulb or a Ceramic Heat Emitter. I've found the infared light to heat better, plus I can see in the tank at night to make sure temps etc... are ok. However, if you can avoid a lamp then do so. ALSO, hide logs SUCK as a good secure place for your BP. What you want is a hide that the snake can feel secure in, enclosed on all sides with a small entrance. Reptile Basics hides are perfect for this.
2nd bold - Your UTH should ALWAYS be on a tsat or at LEAST a dimmer until you get one. Doesn't need to be anything fancy, a Repti-Temp 500R is just fine although some might disagree. Oh, and the temp probe should be IN the substrate right above the UTH so you can get accurate belly heat where the snake actually makes contact.
Hope this helps.