I think, given A-Rod's past two contracts, people could easily look at Pujols and say that he deserves 10/300. And I feel like there will be a team that offers it to him.
The Cardinals are in deep trouble if they can't resign Pujols. Their team wasn't good enough to win the NL Central last season, Chris Carpenter isn't getting younger and a few of their other players are getting closer to needing extensions. Unless the farm steps up in a couple years, or the team hikes up payroll (in which case, one would have to ask why they didn't just resign Pujols if they're willing to raise payroll substantially), I could see the Cardinals falling off in the NL Central.