Dirk, why do you consider a non-battened jib? Adding batten pockets is easy and cheap. I would not go without battens if I could add them.
If you are going to do this at home, and use a crosscut layout, it's fast and easy to use the cloth overlap between panels as batten pockets. Instead of 10 or 20mm seam allowance, you use e.g 55mm for a 30mm batten.
There is special dacron cloth for high-aspect ratio crosscut sails available, but the sail will not be as stable as a tri-radial layout is. There is also mylar cloth available (Maxx from Contender) with fiber reinforcements especially developed for cross cut. It's pricey, but easy to work with and the resulting sail is stable and nice.
There is a performance loss in going for a cross-cut layout, there is also a loss in choosing the wrong cloth whatever the layout of panels in a sail. The question is what recourses you have available and at what level you are racing/sailing. For club racing, crosscut and dacron can be perfectly OK. But I would not have gone to the nationals or an international event with a crosscut sail if I had serious intentions.
You would do well to add a selftacker, thats a real improvement in boathandling. If you are going for a non-overlapping jib, I would definately add the selftacker!
Just for fun, I entered the measurements Wouter gave into Sailcut, scaled down the luff curve from our Tornado jib and gave it a 10% draft. Sailcut calculated surface area to be 3.32m2. The file is available for download if you want to play with it.
http://www.tornado-norge.org/sails/F16-jib-24-01-06.saildefhttp://www.tornado-norge.org/sails/F16-jib-24-01-06.dxf