You could very well get into any of those three or Dartmouth. ED or RD. From what anyone can see from your summary, that’s the only reasonable conclusion. You’re well qualified at all three.
BUT, we can’t see your entire app. We aren’t reading your essays, or LORs and we aren’t the AO. Holistic admissions is a tricky thing. Could get in? Definitely. Would get in? No idea. You are not a high reach for any of these. You are a normal reach in the high quality part of the pool that will seemingly get accepted and rejected at random based on who knows what thinking at that point in time.
-If you’re not sure you want to incur this level of undergrad expense combined with future ed, don’t ED
-If you’re okay with the expense and favor X (Rice), then ED X (Rice)
-if you’re okay with the expense and your goal is to get into any of the three, then either a) don’t ED or b) take the ED that maximizes your chance of landing at one of the three. In this case that is probably WashU. Maybe Vandy.