The worst kind of problem to have is an intermittent one. You may have a bad ignition switch, it could be the distributor or it could be anything in between. Until the part fails consistently (it probably will happen at the worst time) you can either replace parts until you find the right one or try and diagnosis when it fails. Other than that you can leave it with a mechanic and let them drive it until it fails. Honda does have a history of bad distributors, but I would not replace it until I know it is bad. I would not travel with a vehicle like this, its bad enough being stuck in town, much less out of town.
Sorry I can't be of more help.