Easy one. U.S.S. Vanguard
-- I like the pedigree of the name from British history and the idea of general forewardness / on-the-edgeness it conveys. (I built an RP around the name before I learned about David Mack et al's Star Trek: Vanguard
novels... but I still like the name for a ship better.)
A close second would be U.S.S. Shenzhou
based on the series of taikonaut craft, a signal moment in the expansion of the space exploration bug beyond the "West."