HD,
I think a 3wt 7'6" SLT is an excellent rod to compliment that Sage 486LL. With that said, if you are fishing small brushy streams with overgrowth the 376 is the ticket. But if you are fishing small streams that are more wide open the 486LL would be better. For instance, I use my Sage 279LL or 379LL for small brushy streams out here in Southern California but if I'm fishing open meadows up in the Eastern Sierras I prefer my Sage 389VPS-light. Just my $0.02 worth. Good-luck!