If you chop the wing into 2 pieces, you could make a thick central section like control line profile planes have. Similar to profile 3D planes also. Splicing the wing panels back together isn't too hard if you have a razor saw to inlay some spar "splints".
Make the center section long enough to extend past the elevons and you can use that to support a vertical fin and give yourself a built in "handle" for hand launching the plane.
Sweeping the wings will create work that you do not need to do. If you make the center section long enough to mount an engine and fuel tank behind it, the plane will most likely have enough forward weight.
Without seeing your project in person, it's hard to give solid advice about your planes' best layout.

Swept wing flying wings DO fly very well, but so do non-swept wings.
You can get them to flat spin and do neat looking tumbles without a working rudder.
I don't think highly swept wing flying wings are as capable of these aerobatics.

Here is another control line combat plane's wing converted to RC flying wing.
This was the maiden voyage and the controls were cranked up too high for a comfortable flight, but the model was made tame enough to fly nicely after some adjustments.[link=http://youtu.be/Pel5OwLHZ6E]Fox .36 Powered Wing[/link]