Ok I am going to probably be the one with the most experience on this, but I have done several H/C/I on LS cars and ordered tons of parts from TSP. I had a ported and shimmed LS6 oil pump from them, and their 228R cam on a 112 LSA for my old car since it was an off the shelf and known setup it was a good daily driver setup.
Never once had an issue with them, they have returned emails/calls rather quick and with great info.
BTR makes great parts, I love their valve springs, my old Z28 had 60k miles on a comp cams xe-r lobe cam (the 228R) and no issues what-so-ever with it. The only people I have ever heard having an issue are folks who get an aggressive cam and don't degree it, that will cause a ton of issues.
Lastly, I would say work your way from back to front on these cars, I got lucky with over 170 passes on my stock 10 bolt, but H/C/I and spray you will run mid 10's and break that rear end. I ran an FTI 3800 stall converter, Greg at FI is awesome and answered any questions I have. They will ask you your setup and suggest a converter based on that.
Overall the best way to do it, is to figure out how fast you want to go, then build based on that.
Me personally I am going through BTR and Tick as I get a nice discount through Tick, if you have any questions about anything feel free to PM me, my name on all the forums is LS1Adam84, I have done LS swaps into 67 and 68 camaros, third gens, and one lt1 4th gen, otherwise I have helped build or built several LS1 4th gens including one with a nice 76mm turbo pushing 660 to the ground. The one I am building now will be close to 700 to the ground and I am spec'ing my own cam for it.