pendragonman
Absent Friends Margrave
Generally stored supplies will be a better bet. Not just food, but CO2 scrubbers, water filters and purifiers, additional oxygen and water also need to be accounted for. Plucking a figure from T20 that would be 20 months of supplies for an individual per dTon. Assuming you want an endurance of more then a year then an additional dTon per crew of cargo space would supply that adequately.
The other advantage of just carrying supplies as cargo is that the vessel can drop the supplies if it needs to be pressed to another mission. Stripping out an extensive hydroponics setup may be a different matter.
You clearly underestimate the value of fresh food to crew morale, and it will be crew morale (not maintenance levels or supply levels) that determine the success of such a voyage.
A crew with a high morale will be more apt to make successful, long term jury-rigged repairs in the lack of proper facilities. A crew with a high morale is more likely to make any sudden change to mission successful, regardless of shipboard facilities.
For a more clear understanding of the fresh food to morale connection, I suggest you eat frozen dinners for every meal and drink only instant coffee and reconstituted beverages, every day, until someone on the boards here tells you you can stop. By the end of the first week I predict you will be preoccupied with daydreams of fresh produce and real tea.
Further, the hydroponics will act as CO2 scrubbers somewhat.