Base race
Rammus, Hecarim, Nautilus, Master Yi, Singed, Nami, Sona, Zilean, Anivia, Azir, Aurelion Sol, Pyke, Warwick, Zac, Kayn, Teemo, Jhin, Jinx, Sivir - First to complete 3 laps around SR (around top, down bot or vice versa - you can go either direction but you need to choose which by leaving Nexus into the lane, which means you might be running headlong into other racers) wins, roller derby style with attacks allowed (maybe kills/deaths could reduce/add time and compete in teams by total time?). Deaths result in GA resurrection (champion res times from ult/passive or purchasing GA cut to 50%). Everyone starts at level 18 with 100,000 gold. 15 sec hold in base before a sound and notice announces race starts to purchase items and choose starting lanes. Towers active and hostile to everyone (no towers in Base), damage halved, invulnerable. For a twist, maybe make it half laps between blue and red nexus?