Contra Costa and Alameda both offer affordable housing options. It's hard to determine how a lender will qualify you by just your income since they consider your down payment and other debt payments in the equation. If you have no other debt and use the minimum down payment, you are likely to be looking under $500,000.
On the west side of the hills, for a large family home, you are likely to be looking north of Albany or in San Leandro and south. Oakland has some options, but you said suburbs.
Livermore will have some options for you but the commute is a killer. Hercules has some great pricing and reasonable schools. Martinez has good schools and reasonable prices. Concord schools are not as good, but prices are lower.
My website at http://www.web4homes.com
has some great school information.
Please call me if you'd like to chat about your options.
Kevin Murray MBA