Keep Enterprise. We've had a carrier with that name dating from 1936-1947 and then with CVN 65 from '61-'17.
She would be the 9th ship named Enterprise.
Not to hijack the thread, but Mrs abb & I toured the National Naval Air Museum in Pensacola yesterday, and they have several artifacts from CV-6 Enterprise. Will make chill bumps rise on your arms...
http://www.navalaviationmuseum.org/attractions/aircraft-exhibits/item/?item=enterprise_exhibit
CV6 fought in every major Pacific battle except Coral Sea and won 20 battle stars. Almost every ship to bear her name has become a legend.
I wish the would revert to previous carrier names like Wasp, Saratoga, Hornet, Constellation, Intrepid, Ranger and Yorktown.