According to some biologists, the microscopic free-living stage of Ichthyophthirius will die in 60 hours if they don't find a host. My personal experience with Ich doesn't always jibe with the experts. I've seen situations where fish have contracted Ich in tanks that hadn't been infested for a lengthy period of time preceding the outbreak (and no new fish or plants had been added in the interim).
Raising the salt concentration and temperature should pretty much kill the little monsters off. Be aware that Corydoras, while not very sensitive to Ich ARE very sensitive to salt! In an experiment done quite some time ago, Corydoras were the first fish of all those tested to die when the salt concentration in their tank was raised.