The effects of a tsunami depend considerably upon the shape of the terrain, both above and below sea level. Merely going inland isn't necessarily effective, especially if you are traveling up a river valley or other low lying area. You want to gain elevation.
My local county has modeled the extent of a ten foot tsunami and identified areas of risk, complete with cute little warning signs.
I believe most coastal areas (at least on the west coast) have modeled or are in the process of modeling how high a tsunami could go.
For Washington State see
Washinton Emergency Management's Tsunami page.
For Oregon, go to
Oregon Tsunami Clearinghouse.
For California see
California Tsunami Inundation Maps.
Alaska is still developing tsunami mapping. See
the AEIC's Tsunami Mapping page. Fortunately for us in Anchorage, the configuration of upper Cook Inlet dissapates tsunamis before they get to Anchorage. In the 1964 quake there was no tsumami at Anchorage. However, Valdez, Seward, Kodiak, and Seldovia were hit hard with loss of life. Near the epicenter, the village of
Chenega was obliterated with 23 (out of 75) villagers killed.
For lots of good general tsunami info see
NOAA's TsunamiReady page.