Anne,
We bought a Go-Go Baby roller cart that attches to the carseat so the carseat and be the stroller and be rolled onto the plane. We love, love,love ours! Our son loves riding in his carseat in the airport!
The roller wheels attach easily to any carseat and then is easy to take off to place the carseat in the seat on the plane. It has and extender handle to pull like you see on suitcases. The only drawback is that you have to remove the wheels from the carseat when you get to the security walk through gate. The carseat will not fit through the scanner with it on. You can roll him all the way to the gate though plus keep him strapped in which is easier in the carseat then the stroller. The Go-Go would also enable you to not need to take the stroller too.
You might feel like you need a stroller on the other end but maybe your family could borrow one from a friend for you to use while you are there or rent one from www.babiesaway.com. Then you could just take your carry on and the carseat on wheels.
I know they sell the Go-Go-Baby at Rockridge kids and I think they have them at Babies-R-Us too. They are about 100.00 but it is one of the few items we have bought that we can keep using for a few years. Plus with another one on the way you know it will get a lot of use to come.
I would highly reccomend this as an easier option for travelling, especially alone...but be sure to ask for help from the flight attendants regardless!
Go luck and happy travels,
N.