I use my Bernina 440 on a Bernina quilt frame (made by Grace Co.) and I too have a limited quilting area but have managed to quilt 3 full to queen sized quilts on it and several baby quilts. You just have to stop and roll more often, oh, and choose a smallish design to quilt. You can do block quilting but you would have to do one half first, then roll quilt, and then do the second half. Unless experienced, it might be hard to line your work up perfectly.
Next quilt I do I'm using 'groovy' boards with a stylus. Hope it's as easy as it looks!