SLA/Applied Linguistics may not be the same as Linguistics in many schools, so better check with both Linguistics and Education departments.
I know Michigan and UCLA linguistics departments do not require GRE scores. Maryland does not 'absolutely' require GRE scores for admission but you're encouraged to send high scores for securing financial aid. I've seen Ohio State's explicit GRE requirements for fellowships so I think it's better to have those scores.
Some departments with deadlines in Jan: Rutgers, MIT, Harvard, Illinois, Stony Brook, Maryland, Cornell, UMass Amherst. Again all are linguistics departments.
And I think MIT is the only department I've seen that does not promise funding for admitted students..
All the best