After looking around, Bush finally realized that the best man was right there by his side and so picked Dick Cheney to serve as VP.
I don't want to start something, but as I recall, Dick Cheney led the search for a VP, and came back proposing his own name as best candidate. At the time I thought it was mighty arrogant, but he certainly seems to be correct.
Your version is in error. Cheney did not suggest himself.