Dual rate has that problem of not allowing full stick travel, but expo should not have that problem.
Expo is supposed to be less sensitive around neutral, but more sensitive with larger stick motion and full stick with expo on should be the same as full stick with expo off.
I would probably set it in the transmitter because it is easier to change at the field that way.
I personally don't like expo, but I realize some people do. By definition, expo is not linear. A little motion around stick neutral doesn't do much, but a little extra at 75% stick adds a lot. You just can't develop a feel for the sticks like you can when adding some stick does the same at neutral that it does at 75% stick. I suspect it is often used when someone wants to be able to fly normally, but still be able to call for really crazy amounts of throw.