Refrigeration is nice to have but a long long way from being a life or death necessity. Fresh foods will keep for most of your planned trip without any kind of refrigeration. You'll need to keep it at or below the water line, like in an ice less ice box. Take foods and condiments that don't require refrigeration like mayonaise. Fresh water should be fine as long you use it for drinking and cooking, only. Diable the pressure water system, it's a major water waster. Use Lake Erie for all your other water need.

If you haven't already done it, change out as many of your incandescent bulbs for LEDs as you can afford. LEDs, including running lights draw virtually nothing. You haven't said it, but assume you have no charging capability. FWIW, cruised my 26' with a single 12v battery for a week or more at a time and didn't kill the battery. Might want to take it easy on the stereo or use a throwaway battery powered radio/CD player. You're Cell Phone will probably die after a couple of days so might think about how you are going to live without that. There are small solar chargers available for phones that didn't seem to be too costly, IIRC.

Biggest problem could be the holding tank. Using the rail will cut down on the amount of liquid added. If you can track the amount of liquid in the holding tank, might want to camp out for a weekend on the boat with the planned crew and see how much effluent you produce. If it's not going to make it for a week, will have to plan on a pumpout sometime during the voyage.

Your raft sounds minimal. The Sevylor Rafts I've seen have been little more than pool toys. Might try and borrow a rowable real inflatable. If it's just for getting ashore from a close in anchorage, would probably work okay. As far as rowing, rowed an Avon Redcrest for years while cruising. Inflatables row fairly well, rowed ours for miles at a time on occasion.