I dont know what is in convict conditioning but yes bodyweight stuff. Pistol squats, burpees, single leg SLDLs with odd objects, chin ups, push ups and their variations are what Id focus on. Maybe do the harder and unilateral exercises first in a few sets, like 3x15 reps or whatever you're capable of, then move to "easier" exercises like squats, push ups, and mountain climbers in a circuit, or just burpees, and do them for timed rounds with set rest intervals, trying to increase the reps you do each round, making the rounds longer, or adding more rounds. You could also set a total number of reps and try to decrease the amount of time you do them in- say 75 burpees total, the first time you do it, it might take you 10 minutes. The second time aim for less than 10 minutes, and so on.
Is the boat going to be rocking and moving much while you're working out? If yes, that sounds like it would be real functional