RWhittle,
First - I used a Loc-Tite brand of silicone spray lubricant on all the rubber seals. This helped a little.
Second - As Chuck has recommended, I made sure that the one and only adjustable bumper post on the lower rear of both doors was making contact, which it was.
Third - I determined that the squeaks were primarily coming from the sliding doors top, rear surface where it contacts the top door-frame seal, as if the door was not closing enough (or not coming inboard enough). I ended up adjusting the latch (on both doors) that is attached to the back door-frame post, inboard approximately 3/32". This eliminated the squeaks for a while, but about 1 week later a squeak resurfaced on the right door.
Fourth - I took several 30-45 minute drives with my family (wife driving, me in the middle right seat) trying to pinpoint this annoying squeak. I determined that If I pushed outboard on the window at the rear of the door, the squeak went away. I was convinced that it was the window itself. I was just about to pull-off the rear, plastic interior window trim piece when I decided to look at the upper rail track. You won't believe it, but the small rubber doorstop bumper attached to the rear of the top rail was the culprit. Man was I happy. I pulled the rubber doorstop bumper completely off, took the Odyssey for a test drive, and sure enough no more annoying squeak. I fixed it by attaching some electrical tape to the painted metal rail where the bumper interfaces with it. Then I sprayed silicon lubricant onto the tape and on all faces of the doorstop bumper. One more squeak at least temporarily gone. I'll try and attach pictures.
Regards,
Bob