Okay, I know that this scenario won't always happen but what if.........
Wasp has flown in Ulik so that he can base Logan who is stealthed on an object. Logan attacks. The following round (Ulik could not attack the round he is flown in) Ulik makes his attack and hits. Damage doesn't matter for the question.

Now Wasp is going to push herself and fly (carry) Ulik away. Since the action doesn't involve any power action or move action for Ulik.....can Ulik grab the object that Logan is using to stealth him as a free action?

I am just wondering if this is a do-able scenario.

Nope. First, you have to give someone a move or power action to pick up an object, and secondly, a character that is holding an object cannot be carried. I don't have the rulebook in front of me, but it's in there.

A flier with SS can carry an object and a character at the same time.

couldn't have said it better