I suspect Good Old-Fashioned Hibernation may be cheaper

Andrew J. Janca, So you want to stop time

A model of a stasis chamber, slowing the passage of time in its interior down to arbitrarily small rates relative to the outside world, is considered within classical general relativity. Real and apparent (gravitational) forces as perceived by an interior observer are altered, but in opposite ways. Comparison with special-relativistic time dilation shows the use of such a static chamber to be economical only when the most drastic slowing of time relative to the outside world is desired (d(tau)/dt < 10^{-20}) or when one wants to avoid spending the time needed to accelerate to relativistic speeds.