Unfortunately, being unconscious and relatively immobile for that long would be extremely bad for your health. People in a coma require a lot of specialized nursing care -- for example to avoid developing bed sores -- and anyone immobile for a long time risks cardiovascular problems and muscle atrophy. You can get quite deconditioned from just a week or two of bed rest.

The "stasis" approach for long trips would probably have to be something higher-tech than just regular anesthesia...