Test your Synoptic Hypothesis with a balsa wood raft

In 1947 Norwegian explorer, Thor Heyerdahl, attempted to prove the viability of his theory that ancient Peruvian people had traversed vast tracks of ocean to colonise Polynesia. Using only the technology of the time, Heyerdahl and five companions sailed a balsa wood raft for 101 days over 4,300 miles across the Pacific Ocean until they made landfall in French Polynesia. All returned safely. 

The Kon-Tiki movie charts the extraordinary challenges faced by Heyerdahl and his crew - but he proved his theory was physically possible. Could the supporters of the various Synoptic Hypotheses do the same? 

I put this question to highlight the physical challenges faced by every Synoptic Hypothesis - and, most particularly, those faced by the Farrer Hypothesis. We have no example of anyone using a text in the way that Luke is required to use Matthew under this theory. Using only the technology of the time, could the supporters of this theory demonstrate that Luke's handling of Matthew is physically possible?