As for me, I bought a 700 adl 2 yrs. ago. It rusted in one weekend. I took it out to clean and was pitted with rust. Yah, I know I'm supposed to wipe it dry. My sons cheap H&R didn't rust a bit. What does that tell you?
That tells me that you bought a Remington 700 with a very course matte bead blasted finish which will rust over night if you do not keep the thing clean. Moisture will settle into the pores of the finish and rust. It's that simple. If you do not like this then you should purchase a rifle with a smoother finish on the steel.
The H&R has a satin finish (about 400 grit) that is not nearly as course as the bead blasted finish on the ADL and thus does not rust as easily. This finish is similar to what is on the Remington 700 CDL.
The rifles that have mirror polished blued steel, such as a Winchester 70 super grade, perform almost as if they were stainless steel because the surface of the metal is so smooth.