That would be a stupid move on Steinbrenner's part but since he has made a lot of stupid moves lately, that would not surprise me. The Astros would love for him to go into the Hall with an Astros uniform. The Astros already blew it with Nolan Ryan so this could make it up.
No, that won't happen. Here's the deal -- the Hall won't let the player choose which hat they can get on their HOF plaque anymore, ever since teams started making financial deals with players to have them wear their hat on their plaque. Specifically, Dave Winfield decided to go into the HOF as a Padre instead of a Yankee, because the Padres financially compensated him for doing so. And Wade Boggs announced that he wanted to go into the Hall as a Tampa Bay Devil Ray, because they offered him bucks as well.
Anyhow, Clemens announced last year that he wanted to go into the Hall as a Yankee (that was back when he actually said he was going to retire as a Yankee), and even said that he'd have his own HOF induction ceremony in Palm Springs(!) if baseball didn't let him. In the meantime, Yankee management has been lobbying the Hall behind the scenes to let Clemens in as a Yankee. Clemens' signing with the Astros today has guaranteed one thing -- he'll be wearing a Red Sox hat on his plaque.