we got a bit stuck with our hands a couple of times.
I assume you mean that drawing 1 card per turn is too slow if you are stuck with a hand of 5 useless cards you can't play. However, remember that you can always take 5 cards from the board into your hand, then discard all your dead cards, then on the next turn play all 5 of your old cards back onto the board, then draw 4-5 new cards when doing end-of-turn draw. This takes 2 turns to execute, but results in effectively drawing 4-5 cards. With this trick, we never had a problem of being stuck for more than a few turns.