Technologically, the Zombie Safehouse is currently practical - a house on 40' greased telephone poles is, after all, quite simple - albeit exotic.
Thus far, however, the Zombie Escape Zeppelin (ZomEsZep) has been impractical. But now, we are one step closer - the personal "skyacht" seen here: http://www.engadget.com/2006/08/07/the-skyacht-practical-personal-blimp/ allows for an individual LTA craft that operates on hot air, rather than helium. At present it only carries one person - but scaling it up to include staterooms and a fantail deck with leather club chairs, bookshelves, servant's quarters and a mahogany bar is a matter of scale rather than design. Technologically, solar cells that will power the craft indefinitely are all that remains to be developed.
Let us hope that the Zombie Appocalypse doesn't occur before the requisite breakthroughs. And that I have the means to acquire the ZomEsZep, when it is possible.