speaking from experience it gets old sometimes daily driving a 224/224 on 112 lsa with a 3600 torque converter.
The converter actually made it tougher to drive as there was less load on the engine at low RPM. I was able to tune the truck great with just the cam and a 3000 torque converter, but when I swapped to the ss3600 it made it much harder to get it to idle.
If I could do it over I would have gone with a tr220. I don't think people are running any better times with bigger cams in a 5.3L without dropping serious money on heads, intake, etc.
BlueCajun has run some amazing times with the tr220.