Well, it's no Ginkgopolis...
The rules are very clear. You discard all 4 cards, then draw 4 new cards. You could do so in the conditions you describe (requiring shuffle), but that would be a pretty bad move.
Hi Steph! Always around when it comes to Ginkgopolis. ;)
I think YOU are TOO, also always around when it comes to Gink! I should get back to BAJ sometime soon for a game ;)
I don't think it is a bad move at all to reshuffle your hand back in all the new delicious cards you could pull... It is a glorious thing! You just run the risk of pulling your cards back! The game is some luck and it is genius! Take a chance. I think it is the most ideal time to draw cards on the reshuffle. But, perhaps that is me!