Sorry, been forgetting to take that second look! Nope, not Nashville - as you say, the bill is wrong, too long and heavy (and ditto the legs); also the throat is too bright yellow (pale yellowish-white in Nashville).
Veery can be counted out easily - that is much more rufous-toned than either of your pics, and less spotted than the second. My best guesses would be Swainson's for the first, and Gray-cheeked for the second. But I don't have a high level of confidence in my idents, I find Catharus thrushes very tricky (or should that be veery tricky?? ;-))