sounds to me like you already did your calling to verify that this combo would work...
the reason you feel slower is due to the 5.3 with a stock cam behind a 3600 stall and you need to remember that an 80e has a long first gear...
throw a big cam in that sucker and some spray and you will know you did the right thing
06 silverado CC Volant CAI/ Corsa Sport exhaust
dynatech supermaxx headers/cats
LPE GT2-3 cam/ Comp 918's/ Rods
Eaton LSD 3.73's
IAT Shocks
DANNY TRANNY w/2800 TCS billet verter
275HP and 293TQ Pre Cam
314HP and 303TQ post cam