1 v 1 Ideas?

My brother and I like to 1 v 1 each other in custom games, while this is rather fun, because there are not enough human players on the map, we can't earn any IP, Champion Masteries, chests, keys, etc. Personally, I think a map / game mode made specifically for 1 v 1 matches would work out very well. There are three particular ways I think would be great. One of them would be a quick duel arena. You would start at Level 18, have, say, 10000 gold to buy items, head out there and the first kill wins. Matches would rarely take longer than 2 or 3 minutes The second could simply use the Howling Abyss map, just reworked to have teams of 1. The third, which I think could be a novel idea, is an all Jungle map. No nexus, turrets, minions, wards, just lots of monsters, buffs, brush, have a time limit set and whoever has the most kills wins.

So, what say you? Would you be on board with any of these ideas? Do you have any other ideas for how this could work?