You don't mention if you fish on a private boat or party boat for tuna - but I'll assume party boat . . . you will likely only be allowed to fish mono on the bait rod . . . 80 to 100 lb so that's what will dictate the reel - something in the 50 class - I use an International 50W. Not ideal for jigging (too heavy) but many of the others mentioned will not hold enough mono
If you fish off a private boat or one that allows braid - your choices are expanded - you mentioned the Accurate - I use a 2 speed 665W with 100 pound braid for my jigging reel.