The thing is that you cannot base the request on the map's corners because 1. zoom levels are discrete values and 2. the amount of latitude that a pixel represents varies with latitude. So, to display 2 degrees you'll need a given map height near the equator and a different height, (greater), near the poles. Are you willing to display maps of different heights in order to fit always 2 degrees?
If so, you can use the MercatorProjection object from my other post, and use the following function to calculate the necessary map size:
<script src="MercatorProjection.js"></script>
function getMapSize(center,zoom){
var proj = new MercatorProjection();
var scale = Math.pow(2,zoom);
var centerPx = proj.fromLatLngToPoint(center);
var SW = new google.maps.LatLng(center.lat()-1,center.lng()-1);
var southzWestPx = proj.fromLatLngToPoint(SW);
var NE = new google.maps.LatLng(center.lat()+1,center.lng()+1);
var northEastPx = proj.fromLatLngToPoint(NE);
// Then you can calculate the necessary width and height of the map:
var mapWidth = Math.round((northEastPx.x - southzWestPx.x) * scale);
var mapHeight = Math.round((southzWestPx.y - northEastPx.y) * scale);
}
With center = new google.maps.LatLng(49.141404, -121.960988) and zoom = 7 you get that you need a map of (W x H) 182 x 278 pixels in order to display 2 x 2 degrees.