G'evening Graeme,
I hope you've had a good day and that your delivery arrived OK!
Did your challenge ever fly or is it an impression of a concept?
I've had a good look at 3LS aircraft, and apart from the Avanti and a couple of non-starters, the only description that matches fairly well was the proposed SharkBite Reno racer, but the foreplane was too near the tip of the nose, no images of any changes, but it later seems to have become a four place, twin engine, T-tailer!
In view of the fact that you dislike them, could it be a UAV?