What if you specified the default value to return, instead of using default(T)?
public static T GetQueryString<T>(string key, T defaultValue) {...}
It makes calling it easier too:
var intValue = GetQueryString("intParm", Int32.MinValue);
var strValue = GetQueryString("strParm", "");
var dtmValue = GetQueryString("dtmPatm", DateTime.Now); // eg use today's date if not specified
The downside being you need magic values to denote invalid/missing querystring values.