If you go the route of trading our talent with an eye on retooling I don't think we have to go "full rebuild" in our case.
Bautista and Edwin get you a premium MLB ready prospect and likely a very good prospect (or maybe two). There contracts alone are quite valuable.
Reyes probably gets you a premium MLB ready prospect and a lesser prospect. Not that much surplus in his contract, but he is a name and will produce good WAR at a premium position in the short term.
Dickey should be able to get you a nice return with pedigree and a dirt cheap contract. 200IP lock and Cy Young upside.
Rasmus and Melky are rentals, but can certainly net you some talent (not MLB ready blue chippers, but talent).
Trade the whole BP for whatever. Maybe keep some of the controllable guys if the return isn't right.
Trade those guys this year and you have a nice base of young MLB ready talent. Use the money you saved to sign a few good FA's to compliment the young guys. Front load their contracts so you can extend the above noted prospects.
If you pick the right prospects and sign the correct FA's you can be back to the level of this team (or better) in a couple of years with a much better long term outlook.