You are going to find the majority of people are going to warn against housing a tang in that size tank. Probably anything smaller than 120g. You can house a tang if you want, no one can stop you. But if you are unsure of your husbandry skills, I'd consider something else. I wouldn't do it for the tangs sake, your other fish, and because a large fish in a smaller tank just makes the tank look cramped.
For angels, I think there is enough anecdotal evidence that they really aren't reef safe in the long term. Mike Paletta recently published an article discussing bad choices and choosing an angel was one of those bad choices. If you are worried, I'd avoid them at all costs.
Wrasses are a good choice, but the majority of them are not omnivores. If this is OK, then there are several great options to choose from. I love my Melanurus. Constantly cruises the tank, interesting behavior, and great color.
But first, please list what fish you currently have in the tank. That will help others give you advice on a good addition. Choosing a new fish to add to an established order can be difficult depending on what you already have in the tank.