Rm9,
Welcome to the forum!
You might be well served by listing some important things such as total budget, primary types of music you like, size of room and choice of source components you will be using. This will help with any specific recommendations.
OK, since you mentioned the LSA-2s, I looked to see where a set was for sale and I see there is only one pair and they are near Nashville. So, it you happen to be near Nashville, there is a Nashville "Club" forum here at AudiogoN. I just checked it out and there is also a Nashville Audiophile Society that has just started in the area. Check out the Nashville Club forum page here and you'll see a link to the Nashville Audiophile Society. Reach out to some locals via the club forum and/or the Society. Of couse, if my detective skills were wrong, and you are not near Nashville, just look for a "club" in your area on the club forum here.
Our local "club" (not Nashville) is very informal, but the 3-4 yearly get-togethers are great fun!
Since you mentioned listening to classical specifically and mentioned getting speakers first, I would recommend that you at least investigate Vandersteen 2 and Magnepan 1.6/1.7 speakers. I don't own them, but have heard both. Many fans of classical love those two speakers and they are great values on the used market. There is also a similar, but cheaper and smaller, sibling in each of those two manufacturers lineups. The Vandys and Magnepans are also hugely popular, so you can nearly always find them for sale here and you can also nearly always flip them here if you don't love them. BTW, They will both require quite a bit of space behind them and they aren't necessarily pretty speakers. Best suited for dedicated listening rooms IMHO.
OK, that's my first long winded cut at your question. Enjoy the hunt and let us know how it turns out.
Enjoy,
TIC