Not sure how high some of the radios go, as usually all I hear is static just above 1700. I think the SRIII will tune as high as 1720, I'm pretty sure the Sony ICF-38 portable tunes that high also. My Sony SRF-59 probably tunes that high, also.
A lot of SW digital portables will tune that portion of the band, but using their SW circuits, not their MW circuits, which can be a negative, even if the SW circuits have extra RF amplification. I think this is because of the MW band stop filters in a lot of radios' SW circuits. But that's just a guess.