Well, I'd have to buy a new laptop (REW doesn't work on an I-pad) and a mic. That would be about half of the total cost of the project.
I've spent a few years moving the speakers, and experimenting with different amounts of toe-in, and right now they sound the best they've sounded yet. I've gone from very close to the back wall to where they are now, over 3 ft. away from it (this is already further into the room than would be ideal, so I don't think we could bring them out any more).
The idea of finding out what's wrong but not being able to correct it seems like it would be frustrating to me - that's why I would want to get the equalizer first.