The dehumidifiers will speed the process in a "gently" for the wood manner, worse will be drying with trying to increase the temperature in the area. Cupping will, unfortunately, come together with any excessive leak on the wooden floor. On a narrow strip like the one described, I would expect cupping to appear only in cases where the amount of water was excessive. As it sounds that will be the case, I would expect the situation to worsen over a period of 2-3 weeks, while the timber is drying.
Three-four weeks after the flooding the timber will stop moving and eventually (over the next 2-3 months) go back to a certain stage - how much it may calm down would depend on the amount of water absorbed.