LCC is the top of the mountain out there, IMHO. So, let's hope you'll get there eventually.
Privates that are really stellar nearby are CC of York and West Shore. Run if you can arrange to play either of these.
I have played pretty much every public golf course in that area, and if you are willing to lower your expectations a bit, here are two right in the Lancaster area and are strong:
1. Overlook - it is almost 100 years old and is solid
2. Willow Valley - a 9-hole course that will make you smile.
Now if you have the ability to travel north of Lancaster a bit, then I have a 36 hole public escapade for you that might even make you giggle:
Galen Hall and Manor.