I am going to assume that the alternator R&R is the same for all years of LS V8s. If I'm wrong, please disregard. With that said:
The first alternator failure I experienced was on the starting line at an ECTA event. The engine just quit, and after getting a tow back to my pit and ascertaining that the new battery was 'empty', we locked up the car and drove back to town. Bought another alternator and drove back to the airport. Although some of the pit surface was concrete (WWII airport tiedown area) we were in the grass. Jacked up the car and dug out the flashlights since the sun was about down.
On my '02 getting the alternator loose was just a regular job exacerbated by the absolutely atrocious location on the underside of the engine. With my good friend/crewchief holding the light, (and swapping off positions) we took more than an hour to find just the right position amongst the swaybar, various hoses, etc., and finally just avoided having the (!@#@!#$) thing fall in my face. Attached the wires and spent another hour plus trying to get the alt. back up into position and bolted down. Friend/C.C. up above with a prybar to push the idler out of the way to get the belt back on helped a lot.
The next morning I was first in line (I was told to come to the front if I arrived in time) and my pass set the record in E/F CC/S (E Fuel Competition Coupe/sedan). I raised the record twice more during that day and then changed classes to E Fuel Super Street by removing the methanol from the fuel cell and going to C16 race gas. I set that record also.
There may be a poorer place for an alternator than its location on the LS, but I'm not aware of one.
KS