let's have a reality check before you start 'spinning the wheels':
1. Are you prepared to pay cash for a home as soon as you find it?
2. Do you mind being in a major road location?
3. Do you need to commute to downtown often and have affordable parking for your car there?
If you cannot answer 'yes' to those questions, you might need to have a plan 'B'. Here is why:
1. One month is not enough for a complete cycle involving house hunting, negotiation, inspection, purchase & sale agreement, lining up a lender and an attorney, get a lender's commitment, close on a purchase, move in. You need a minimum of 5 weeks from the time you identify the house you want to buy.
2. Towns with excellent schools within 30 min of Boston typically cost more than $450K unless you're willing to be on a major route or compromise one of your your requirements: 2,000 sq ft,, 3 bdrm, move in condition or schools.
3. Parking in downtown is costly. If you need to commute there often you may want to look into locations that offer public transportation to Boston, otherwise you need to factor in your estimates the monthly cost of parking in downtown.
When I start with a new client I get them to the office where I can show them a big map of Boston and surrounding areas, educate them about various locations and market conditions, learn their requirements and (re)set the expectation on what they can get for the their $$, when and how. That makes the whole process more effective and contributes to a successful experience! I suggest you do that with your agent before anything. If you don't have an agent that is what you need to find first!