The short answer- Probably not......
Perhaps if you are an excellent seaman, lucked out with weather and so never ended up trashing through high winds and seas, the Hunter 320/326 might work for that trip, (less suitable boats have made that voyage) BUT if I had to make a list of ideal boats for that voyage and which cost somewhere below $90,000, the Hunter 320/326 would pretty close to the bottom of my list.
This is not about Hunter bashing. I personally think that Hunter offers a lot of boat for the dollar and makes very nice coastal cruisers. BUT coastal cruising boats have completely different needs than boats intended to be going offshore.
When I look at the major attibutes that I consider important to going offshore, (Low center of gravity, lots of storage most low in the boat and the ability to absorb the weight of this storage without hurting the seaworthiness of the boat, storage that is safe in a knockdown or roll-over, 30-70 gallons of water per person, robust construction, good seaberths located near the center of bouyancy, Vee''d hull sections forward of the keel, flat and comparatively clear of tripping hazzard decks, good
ground tackle handling gear and storage for the weight of a lot of chain, small portlights, access to the hull surfaces from within the boat without having liners in the way, a sail plan that can be quickly depowered or else offering flexibility in reducing sail area by some means other than by
furling, a cabin that is easy to move around when heeled, and so on), the Hunter 320/326, falls near the very bottom of my list of boats that I would consider for the kind of voyaging you are proposing. The Hunter 320/326 fails on robustness alone (hull deck type, shroud attachement into deck only, size of openings in deck spacing and connection methods of bulkheads, lask of backstay etc.) but the other deficient items are far easier to quantify, objectively understand, and collectively would be deal killers if I had your cruising program in mind.
Respectfully,
Jeff