The real question what styles do you have access to. I do Wing Chun which is both at once and it uses low kicks and nothing real fancy so it's not to hard. Aikido, Jujutsu and a lot of Chinese arts are more or less internal martial arts. Look up what styles are taught in your area and see if any of them fit what you are into.
What are you trying to say when you say I often do badly at very external arts. I am not good at multiple kicks or any thing like jump kicks and crap so I don't get into things like Tae Kwon Do is that the kind of thing you are talking about.
Here is a link to a lot of Chinese styles some of these are internal.
http://www.chinesekungfu.4t.com/styles.html