There is definitely a small incoherency between the ability to rotate although you don't have any sail left...
I think that in the boardgame, this is only possible every other turn, using the speed acquired from the wind drift, otherwise your ship will drift in the same position (in fact, it should naturally get up wind).
This possibility to still turn will make very difficult to rake a ship without any rigs, and you cannot therefore expect it to surrender as it should...

Therefore, since the drifting rule may not be so simple to implement, simply not allowing the ship to move at all should make it for the time being.

My 2c