I'm designing a mission to a planet orbiting 61 Virginis (27.9 ly distant), and want to stay within physics that we're aware of (e.g. no warp drive). I've asked questions here and here, and the answers to those tell me that it's a tall order. For one, getting up to a reasonable fraction of the speed of light in a reasonable period of time seems to require accelerations that would be unreasonable to the human body.
So, my question: if I'm going to have my passengers in cold storage of some sort, but not so cold that they've gone solid (no "carbonite", but deep sleep and slowed biology), what sort of acceleration can I use?
I'd like the trip to be in as short an amount of time as possible for story continuity, so multi-thousand year transit won't work. Ideally they'd get there in less than sixty or so years, but a couple hundred years would be OK. Is it feasible?