Of course there's lots of evidence pointing to Oswald because he was the designated patsy and he knew it. James Angleton created the fake defector program and Oswald was a singleton agent disenfranchised from the agency so he could go undercover. But he was actually a member of Angleton's patsy pool who could be used at the CIA's discretion to do just about anything. And every good coup needs a designated patsy.
They could have even told Oswald he was the designated patsy and reassured him he would be granted safe passage to either Cuba, Russia, or Mexico. He might have been trying to get a visa in Mexico so he wouldn't get hung up at the border during his escape. Or maybe he was trying to bail out of the coup, who knows? Either way, he was the designated patsy long before October 1st and he knew all he had to do was play his part in the conspiracy, which did not include firing the rifle, otherwise, the lack of his prints is inexplicable.
Like Thomas Arthur Vallee was the Plan A patsy for Chicago, Oswald was Plan B for Dallas. Vallee got planted in a condo overlooking the motorcade route, Oswald in the TSBD. How can anyone possibly think that was a coincidence?