At this point in
"The Saga of The Search for Electrical Gremlins"... I cannot swear definitively that it is the Fuel Pump... I was just trying to answer your specific question involving how to go about doing the repair. because the #41 Fuse is NOT Blown and that puzzles me. I don't have a clear Electrical Diagram to use as a Flow Chart Diagnostic tool to "follow the juice" down the line for isolation purposes which I think is needed because MORE than one of the Electrical Hardware Items is affected as soon as the Ignition Key is turned and the PCM itself is threatened with too much Amperage bashing apart its innards.
Since you have not actually investigated the Park Neutral Switch or confirmed its integrity by looking things over down there ...I would not proceed toward an R&R of the Fuel Pump if something more obvious can more easily be found and repaired. It could well be something else that stops all power to the PCM...ergo... No PCM Signals available to ALLOW the Fuel Pump Circuit to engage.
Another issue to discuss here is the Safe Removal of your Fuel Tank. Look into obtaining a "GASTAPPER" Kit and a few 5 Gallon Polyethylene Gas Cans to manually siphon out that Fuel Tank BEFORE you attempt to unstrap and lower it
with way too much weight in fuel inside. These links and video will help will help:
https://www.amazon.com/dp/B00QDC31VO/?tag=gmtnation-20
https://www.amazon.com/dp/B000W9JN4S/?tag=gmtnation-20
Here is a complete list of the Fuses and Relays in the Main Fuse Box (Engine Bay) and the Rear Under Seat Fuse box… to Double Check ALL of them to see whether or not Multiple Fuses have blown since the R&R of the Replacement PCM:
Mini Fuses
1 ECAS
2 Passenger?s Side High-Beam Headlamp
3 Passenger?s Side Low-Beam Headlamp
4 Back-Up Trailer Lamps
5 Driver’s Side High-Beam Headlamp
6 Driver’s Side Low-Beam Headlamp
7 WASH
8 ATC
9 Windshield Wipers
10 Powertrain Control Module B
11 Fog Lamps
12 ST/LP
13 Cigarette Lighter
14 COILS
15 RIDE
16 TBD Ignition 1
17 Crank
18 Air Bag
19 ELEK Brake
20 Cooling Fan
21 Horn
22 Ignition E
23 ETC
24 Instrument Panel Cluster, Driver Information Center
25 Automatic Shift Lock Control System
26 ENG 1
27 Back-Up
28 Powertrain Control Module 1
29 Oxygen Sensor
30 Air Conditioning
31 TBC
50 Passenger?s Side Trailer TRN
51 Driver?s Side Trailer TRN
52 Hazard Flashers
J-Case Fuses Usage
32 Trailer
33 Anti-Lock Brakes (ABS)
34 Ignition A
35 Blower Motor
36 Ignition B
37 Blank
38 Rear Window Washer
39 Fog Lamps
40 Horn
41 Fuel Pump
42 Windshield Wipers/Washer
43 High-Beam Headlamp
44 Air Conditioning
Solid State Relays
45 Cooling Fan
46 HDM
Mini Relay Usage
47 Starter
Miscellaneous Usage
48 Instrument Panel Battery
49 Fuse Puller
Rear UnderSeat Fuse Block
Fuse Usage
01 Right Door Control Module
02 Left Door Control Module
03 LGM 2
04 TBC 3
05 Rear Fog Lamps
06 LGM/DSM
07 TBC 2
08 Power Seats
09 Blank
10 DDM
11 AMP
12 PDM
13 Rear Climate Controls
14 Left Rear Parking Lamps
15 Auxiliary Power 2
16 VEH CHMSL
17 Right Rear Parking Lamps
18 LOCKS
19 Blank
20 Sunroof
21 LOCK
23 Blank
24 UNLOCK
25 Blank
26 Blank
27 OH Battery/OnStar System
29 Rainsense Wipers
30 Parking Lamps
31 TBC 4CC
32 TBC5
33 Front Wipers
34 VEH STOP
35 Blank
36 HVAC B
37 Front Parking Lamps
38 Left Turn Signal
39 HVAC 1
40 TBC 4
41 Radio
42 TR PARK
43 Right Turn Signal
44 HVAC
45 Rear Fog Lamps
46 Auxiliary Power 1
47 Ignition 0
48 Four-Wheel Drive
49 Blank
50 TBC IG
51 Brakes
52 TBC RUN
J-Case Fuses Usage
32 Trailer
33 Anti-Lock Brakes (ABS)
34 Ignition A
35 Blower Motor
36 Ignition B
37 Blank
38 Rear Window Washer
39 Fog Lamps
40 Horn
41 Fuel Pump
42 Windshield Wipers/Washer
43 High-Beam Headlamp
44 Air Conditioning
Solid State Relays
45 Cooling Fan
46 HDM
Mini Relay Usage
47 Starter
Miscellaneous Usage
48 Instrument Panel Battery
49 Fuse Puller