I've gone through phases when I've washed my hair everyday-- like humid summers with no air-conditoning. And I like the way my hair looks best after I've washed it. But unfortunately, after a while I do notice my hair looking and feeling dryer so I never keep up daily washing for very long. I'd just pay attention to your hair, and if it starts seeming drier than usual, give the washing a break.
More than 2 or 3 times a week for me and I enter the DZ (danger zone).
"It is wrong to use moral means to preserve immoral ends." MLK, Jr.