Here is what I suggest if you don't like that sought of character. My personal taste I don't mind that kind of character but sometimes they can be so annoying because they are most commonly used in drama's. So I know where your coming from :)
Kill Me Heal Me (I'm watching this drama currently)
Healer (Its reslly good its probably been suggested because its that good!)
Suspicious Partner
Strong Women Do Bong Soo
Nothing To Lose (Just finished watching today its as alright its not everyones cup of tea)
Fight My Way (Has the same guy from She was Pretty but with a more Mellow character, It might change the view of him but if you would rather not you can always skip this one.)
Age Of Youth (This is a random one I picked)