For mountain views and nice areas in that price range I'd either be looking in the north valley in the area of New River, Desert Hills, Cave Creek - beautiful mountain views on the outskirts of the valley, many 1 acre lots
Zip codes: =85085,=85086,=85331,=85266, =85087
or in the east valley in the Mesa, Gilbert, Apache Junction area near the Superstition Mountains.
The northern area is closer to the large mountain ranges that extend north to the higher elevations.
It's generally 5-10 degrees cooler there than in Phoenix because it's more open and less asphalt.
I'm partial to the northern area having lived there for 20 yrs. on a place with elbow room. If I can help in finding a place down here, here's my contact info, I know this area well.
NB Andrews & Associates
7440 E Pinnacle Peak Rd
Scottsdale, AZ. 85255