There are a lot of options for you, depending on where in Dallas you'd like to be. Dallas is a sprawling city so Allen/McKinney may be too far for some and perfect for others. How big of a home are you looking for? Good areas include Rockwall, Rowlett, Richardson, Plano, the M Streets (near downtown).... For your price point, you'll either need to look at smaller, older homes or duplexes/townhomes.
Another suggestion: Look for homes that are listed for sale and have been on the market for a very long time. Owners may be open to renting out the property if you ask.