delete the exe's that you cracked and try verify integretry of the games folder as it should redownload those exe's that are missing , for goodness sake even if you dont like steam , just do it. i dont like steam either for needing my trons but i still use it and i only complain when its being stupid like not logging in or when its updating itself.
add youre cdkey to steam , verify the integrety and then just shush , just shush and play the game.