I think modifications to the quest system would solve the bot lane problem issue you mention as well. (though in my experience going bot lane can be very action filled, it depends on the people in the game and the specific champions).
The fix would be that A) the quests will ONLY ever spawn on the bot points. and B) they have specific times ie 5 min, 10 min, 15 min that they pop. This will encourage a variety of play as there are a lot of different options, much like the baron spawning in SR. You can push for it, you can counter push while they are taking it, or you can try and defend it. This would bring a lot of focus onto bot lane during certain points in the game and would liven things up a bit.