Tang police is a bit harsh.
Short answer is no. Realistically there isn't a tang that will work in that size of a tank for many different reasons. The main being the growth rate (speed at which it grows) and possible side effects (both aggression and stunting of growth). But you may ask why are QT or isolation tanks 20, 30, or 40 gallons...and the reply would be because they are just that. QT and/or isolation tanks and not permanent fixtures.
Short term != long term. Tangs can be found young and are small but they grow. Here is a bad example because you wouldn't consider this type of tang for your aquarium, but work with me. I picked up a Lt. Tang for my 210 gallon upgrade. Bought from LA/DD. Size upon arrival was around 2 1/2 inch. Not too bad and maybe something that would work in your tank - conceptually anyway, right? OK, so this tang is roaming every inch of my tank. Top to bottom and left to right. 54" x 30" x 30" and about 170 LBS or rock. Using all of it. Over the course of 8 months it grew from 2 1/2" to 7 maybe 8 inches. Girth to match. This guy or gal grew so fast that it startled me and I had to consider what to do. Plan upgrade, rehome fish, let it ride it out.
Anyway a small baby yellow, purple, will fit. For a bit. Same would hold true to say a smaller bristletooth - kole. But the reason why I suggest no is because they start small but grow and will need the room to roam. I'd personally consider a coral beauty or flamback angel. Even a flame angel would work although again pushing the boundary of space...
Best of luck with whatever you decide.