A stealthy hull at the time when there were very few AShMs with the legs to reach it.
Only if you don't want to engage any deeper ashore than the surf line. Development time was not kind to the assumptions behind Zumwalt, or the entire From the Sea doctrine.
If you're kind and match the 150km AGS vs 2010 AShMs (first AGS delivery rather than 2016 for Zumwalt's commissioning date), then available AShMs would include:
Iran
Noor Phase 2, range = 130km
Noor Phase 3, range = 170km
Kader, Range = 200km
Russia
SSC-6 Sennight/Kh-35 Uran/Bal, range = 130km
SSC-7/P-270 Moskit/3M80E, range = 120km
Moving the timeline up to date brings in things like:
China
CX-1, range = 280km
YJ-12/CM-302, range = 460-500km
YJ-15, range = ?
HD-1, range 290km
CJ-1000, range =?
Iran:
Ghadir, range 300km
Khalij-e Fars, range 300km (ASBM)
Russia:
SSC-5 Stooge/K-300P Bastion N, range = 300km
SSC-12/P-270 Moskit/3M80MVE, range = 140/240km
Klub-K+3M54T Kalibr, range = 660km
3M22 Tsirkon, Range = 1000km
North Korea
KN-19/Kumsong-3, range = 240km
Ukraine
Neptune, range = 280km
Vietnam
VCM-01, range = ? (Uran derivative)
India
BrahMos, range = 8-900km
NASM-MR, range = 350km? (trials due this year)