Early action won't help you at either of those schools in terms of increasing admission chances.
I have the same dilemma as you and have actually decided to RD at both schools rather than EA at one of them. Although it is EA and in a sense not binding, in other ways it is severely limiting. What I mean is, if you EA to one of these schools, then you cannot EA to any other schools that are not public. One example is UChicago, another fantastic school.
Thus, I've decided to EA to other schools that are non restrictive and will most likely ED at one school.