What tranny is my best choice?

So my timing gear on my cam busted and in the process my valves and pushrods got bent. I found a guy selling a 2003 360 hemi from a Ram truck but it doesnt come with a tranny.

I'm still new to the Mopar world and dont know much about trannys to begin with. I've heard a lot about the 727 but dont know its application.

My questions are, which tranny will bolt up to the 360? What is the best tranny for the 360? Lastly, what tranny will fit the already shortened d/s in my dart? I replaced the 7 1/4 with a a body 8 3/4

-theoriginaldart