Hey JC,
Here's my $0.02. The BBS LMs is a classic style. They have been around for years and years and will always continue to have a strong following. Hence, why they're classics and widely accepted in almost any circle you roll with. Very few wheels can be considered classics like this one. With that said, they are not edgy by today's standards and they are "old school" in terms of technology (heavy, won't clear BBK, etc...). I noticed you're considering 18/19 for the LMs which is the only size i'd get them in for the NSX btw... but you have to be willing to accept that in this size they are far from being a performance wheel.
The Advans have all the cool (and functional) features people are looking for these days. Concave = BBK friendly, lightweight, etc... The biggest gripe I have with the Advan wheels is that they are still a cast wheel but at forged wheel prices. There's nothing wrong being cast if used properly but Rota gets so much flack for being a cast wheel in that I don't really understand why people are so ignorant sometimes. Anyway, i'm ranting...
Maybe you need two sets like me
I love the look of my 18/19 setup but a few months out of the year I just need my fix and put on my 17/18 lightweight set.
Good luck!
p.s... if you forgot how good your car can really drive put back your stock wheels for a while. It's like night and day.