Most of the homes in your price range will be 3 bedroom.
Your important criteria will be evident in the most expensive zip codes. College Graduates tend to earn more, be wealthier, buy, own, and even rent in the more expensive parts of a city. Crime lowers property values, so the lowest price areas have a higher incidence of reported crime.
Real Estate agents do not research crime rates for their clients, partly because no place is 100% safe and we should not pretend to offer a guaranty of total safety.
Another reason is we don't want to participate or be perceived as participating in an outlawed practice from the twentieth century called "steering" "Steering" was a racially motivated practice of sending people of color to buy houses only in neighborhoods where there was already a sizable population of color. We don't talk about crime rates because some Black and Latino neighborhoods in this country tend to experience excessive attention from the police, even when that extra attention is uncalled for.
Your concern is widespread. As a result agents offer web site link for the sheriff's department site, Megan's Law site and similar searches.
If I were to show you houses I would send you information about listings all over Sacramento, Elk Grove, Citrus Heights, Antelope, Rancho Cordova, Orangevale, Carmichael and Fair Oaks. You would have many choices in those towns, within your budget..
$350,000 is on the low side for Rocklin, Roseville, Folsom, El Dorado Hills, & Granite Bay, People pay huge premiums for those cities partly because of the reputation of their schools, But they are great places to live even if the kids are grown or have not arrived yet. But $350,000 is far below the median price in those towns.