Sean, first try going the traditional way and starting with the passenger rear and then going from there. If that don't work for you, then that is telling me you need to do 1 of 2 things. The more likely issue is you have a leaking fitting and it is allowing air into the system. The other option is to get a vacuum pump and then draw a vacuum on the system. If there is any air, it will be drawn out of the system.

If you suspect a leak at one (or more) of your fittings, first try giving them a little bit more tightening (don't do more than about 1/2 a turn from where they are now since a tighter connection doesn't always mean a better sealing connection). If they are still in question, find a thread sealant and apply it only to the threads of the male connector. Make sure to keep the sealant a little bit back from the pipe seal area so you don't get that stuff into the brake system.

Out of curiousity, is there a wheel that you always seem to get air out of? If so, that would be the wheel I would start messing with to check the fittings and trying to resolve an air leak problem with.

 

Bad Master Cylinder?

 

What sometimes works when all else has failed is to get a friend to sit in the driver seat and pump up the brakes to a high pressure. This tends to force the air down the lines to the calipers. You then release the pressure at the farmost caliper, the pedal goes to the floor and must stay there until you have tightened the bleed nipple, then start again with the next caliper. The Eezybleed will probably not be able to exert enough pressure.

Worth a try, maybe, before you start stripping things out.