check out the deam wilderness area for camping if you are into primitive create your own adventure type camping. the two put-ins that i mentioned above (crooked creek and cutright) are both right in that area. a good map of the area will do you a lot of good. i don't have the link handy at the moment but a quick google should bring it up through the usfs site. the rules are all laid out on their site as well. planning to camp in the areas included within the boundaries of the deam or national forest frees you from the fees and sign-ins and whatnot associated with the state recreation areas.
we like to paddle out to 'the peninsula' and camp somewhere around that area. when you look at maps of the deam you'll find the grubb ridge trailhead and from there the peninsula trail; there are lots of nice spots around there and the further you venture away from where that trail hits the beach the more secluded you'll find yourself. one side of the peninsula is within eyeshot of cutright and the 446 causeway, while the other side is not and is actually part of the waterfowl resting area mentioned previously.
once or twice we have put in at crooked creek and just meandered out to the southern shoreline and just followed it along until we found a good spot. never too difficult to come up with something out that way. have fun and be safe!
ETA: Here's a link to a
.pdf map of lake monroe i just found courtesy of the indiana audubon society.