Roller cam, even if big (how big?). Anything less than 0.600" lift is not going to be terribly hard to control unless very square shoulders on the ramps (which can lead to bounce). And, if the bottom end is near stock, you need a 30'ish grade for bearing clearances.
Yeah, a 40 will work OK, but it is not needed unless this is a track day car (road course) with hours of elevated oil temps.
You said it's carb'd ... You will have fuel dilution due to big cam (reversion) and you'll be playing with mixture control issues if it idles much ... So it's likely a waste to put synthetics in it as it will need 3,000 miles oil changes (if it even goes that far on an OCI ...).
So let's assume that it's a pretty square profile cam, trunion lifters, 550# springs over the nose, 108* lobe centers so it has plenty overlap, the carb is struggling at 800 rpm idle with maybe 7 inches of idle vacuum and it lopes pretty badly; and you are driving it on the street.
I would not push the OCI beyond about 2,500 or if the dip stick came out smelling "gassy", change it right then. In that scenario you need volume to absorb the fuel dilution and a tough oil. HDEO is your friend. 7 qt pan and the biggest filter that will fit (all volume). Any of the HDEO's with >1,000 PPM ZDDP are entirely adequate. The oil won't be in there long enough for synthetics to do you any good.
There is absolutely no proof anywhere that synthetics actually lubricate better than any premium dino oil. No engineering studies, no professional papers that I have seen ...
Since good HDEO's will take pretty high density turbo'd diesels beyond a million miles with hours and hours of high heat and turbos on full boost, I guess they'll take your LS pretty far. Delo, Delvac, Rotella, Mystic, just pick one and have a good time