It would be my luck to pull the chute, have it wrap around the tail and end my passenger and my lives abruptly when it could have in all probability deadsticked in. It wouldn't be the first time that has happened either!
Doesn't that usually happen to aircraft already tumbling out of control? Don't know of any "straight and slowly descending" deployments that ended up that way.
Tough call, but I still rate the walking away chances higher with the chute. (Though not as high as a precautionary landing at a nearby ALA after you notice problems)