An archer-assassin is probably my favourite play style, I nickname it 'sniper' - creeping around in the shadows and taking the enemies out with an arrow before they even know I'm there. I try to play other styles, and have successfully completed a playthrough in each of a warrior and a mage ... but I keep coming back to the sniper.
Heck yes, it's overpowered. My first act when playing a sniper is usually to go to Riverwood, befriend Faendal and use him to get a good archery skill early on, which makes it even more so. But you know what? I'm a complete wimp in games, I spent most of my warrior playthrough running away from confrontation (obviously he was a wannabe warrior who couldn't quite be brave enough...) and the only reason I felt slightly more comfortable as the mage was I used the magic to conjure attronachs to draw attention away from myself. So I appreciate archery within my sniper build because it nearly always gives me the upper hand.
Just replying to this had made me want to abandon my second attempt at a true Nord playthrough and make a pure evil assassin sniper Khajit...