What you can also do is take it to a private game shop, they sometimes take broken consoles and repair them and resell them, so you could get some cash from that. I did that with my PS3, traded in my broken PS2 and got like R500 off.
Then sell the popular titles that will fetch some cash, and trade in the not so popular titles for store credit.
i reckon you should split and sell the games. Nobody is going to give you big money for a bundle of titles, and you will get peanuts from BT for trading in :-(
whatever titles are left behind, you can giveaway on the forums