It would be cool if he said that tyrion was poisoned on the womb, that is why he was born as a dwarf, imagine the chaos if it was discovered that his wife was actually poisoned and tyrion had no guilty on her dying during child birth? That's a cool idea
He should either post a bounty for giant bones or make more modified mosquitoes to send over the wall drink some giant blood and come back, so that he gets the biological information on how humanoids on this world get around the square cube law so he can further augment his body.
Should make a couple more Mosquito monsters & send them on a mission across Planetos to collect Bio mass. Lots of unique creatures & humanoid races to draw from.