measure your battery tray to see if the 34 will fit in

 

The group 34 is 1-3/16" wider and 1/8" shorter than Group 85/86.

Group 34 specs;
825 cranking amps
700 cold cranking amps
120 minute reserve capacity
Dim 10-1/4" x 6-7/8" x 8-7/8"

Group 85 specs;
780 cranking amps
625 cold cranking amps
95 minute reserve capacity
Dim 9-1/16" x 6-7/8" x 9"

AGM batteries will likely have more chutzpaugh.

If the SS tray is too narrow you might have to change the battery tray out to the V6 tray.
Since the V6 is a lot more common than the LS4 you should be able to find the Group 34 battery tray fairly easily.