Cat vs mice mode?

Idea for a new rgm on Summoner's Rift: it would be a 1v5, where the solo player starts with 50.000 gold and level 18 (or, if this is too much, whatever enormous advantage would make this mode viable) while the 5 in the enemy team start out as usual.

The goal for both teams would be to destroy the enemy Nexus; will the cat (the solo player) manage to do it before the mice (the enemy team) catch up and push him back?