dont play custom games
if you are sub 30 play coop vs ai beginer or intermediate, do not play the intro ones as you will get less ip.
you can earn bonus ip for uop to 3 hours of playing bot games so roughly around 6-9 games a day playing bots and it should net you a nice little chunk within a few days. Play summoners rift and not twisted treeline as you are more likely to have a better game on the rift.
I generally do a bot game first thing to get my first win of the day and also help me warm up and practice new champs and i have played with diamond and plat level players all the way down to level 9 players it just varies day to day and time to time so you never know you could do an intermediate bot game with a bunch of high rankied players and it being a stomp in less than 20 or a bunch of low summoner levels and the game will be harder and may last 40-50 mins.
If you want to try pvp try playing aram they are generally shorter games and give a decent amount of ip for winning or loosing, the trouble though is trying to find a group of sub 30's playing aram.