Overall, i think Thor 2 is probably a good movie to track this by. Ignoring the difference in release dates, which is kind of similar if you look at Thor 2 as opening at the beginning of the winter season before kids get out for Thanksgiving and winter break and TASM2 opening at the beginning of the summer season, Thor 2 had similar mixed reviews on RT and Metacritic, CinemaScore, and audience rating on RT, and it's opening weekend numbers aren't that far off from TASM2.
Thor 2 had the second weekend more or less to itself, similar to what TASM2 will with the exception of Neighbors, and then had Hunger Games, Frozen, and The Hobbit all open subsequently after its second weekend similar to what TASM2 will have to deal with with Godzilla and DOFP. Thor 2 dropped 57.3% its second weekend, and 61% its third weekend when Hunger Games opened, and ended up with a 2.4 flat multiplier.
I think TASM2 will follow a similar trajectory to all of that with maybe a bit of a harsher drop its second weekend in the 58-60% range. If that were to happen TASM2 would end up at just around +/- $220m, so that's my prediction, and I'm leaning more in the direction it will make a little less than $220m rather a little more.