Honestly, the best way to use IIe software without a IIe (and the only one I know of that is guaranteed to be 100% legal) is the Apple IIe card for an LC. LCs are easy to find and don't cost much. The card may be a little tougher to come by but if you're lucky you will find an LC with one already inside that the seller doesn't know about. (That's how I got mine). All you need after that is a 5.25" floppy drive (pretty easy to track down). If your LC didn't come with a monitor, it can drive a VGA with an adaptor (again, pretty commonplace--I think I even have an extra or two laying around somewhere).

I'm not sure how/if the IIe card handles hard drives. I really haven't played around with it too much (and didn't use it much in the 1990s since our school had two IIes still in operation). I'd actually be interested to know what the IIe card supports in respect to hard drives myself.