67 dart 360 conversion help!

Hey guys, new here. I need some serious help. ive built many engines but all imports but this is my first v8 or old build. I just picked up a 1967 dart with a slant 6. I picked up a 360 with tranny and all. also in the deal i got a 904 transmission with TC and flex plate. I would like to use the 904 trans because its the same length as the one on the slant 6 so i wont need a new driveshaft. the tranny that came on the 360 motor is much shorter so i would need a longer shaft. So problem is the torque converter will not fit off the 360 on the 904. i have a flex plate and converter for the 904 but i dont know anything about the balancing part. i really need some help deciding what needs to happen to get this 360 in here with minimal work. do shops balance these converters or what can i do? thanks in advance
-tyler
Is the transmission a lock-up or non-lockup type? Also, do you know what year the transmission is?