If Sasuke just wanted to avenge the clan he wouldn't be about having to do this all on his own. He wants to prove something to his brother. As you said he was jealous of Naruto getting the attention. He wanted that attention and his brother to recognize that he was a threat and he was strong, as he always has. You pretty much proved my point by saying that.
I would also like to add that the first guy Sasuke gets to come with him is a shark toothed guy that carries a big sword. "Look at me brother I'm strong like you, I even have one of these guys too!"