I would like my application to be easy to distribute. I was hoping to distribute it as a single executable file. I don't think this is possible with the LGPL?
You would distribute it anyway as one file, because you're going to pack it into something which does the install. i.e. dmg/pkg file, installer, Linux package, etc.
I don't think I've ever seen a Mac app which consisted of only one file. The whole idea behind .app apps is that they consist of several files.