I'll agree with others that Basil Hayden is not worth the price, although I do like it, certainly far more than any other 80 proof bourbon I can think of. Although I don't usually spend the money for Booker's or Blanton's or Elijah Craig, that's just my decision about allocating my bourbon dollar; I can understand how others think it is worth the price.
I would encourage you to sample the Bulleit you mentioned; a very distinctive taste. There are lots of others in the same price range that could give you a nice experience of something different; Old Charter 12, Old Grandad 114, etc. Casting that sort of wide net can introduce you to lots of favorites.