I would bring it with you.
It will need to be inspected for invasive species such as Zebra mussel's and you may have to get it cleaned but you will kick yourself if you leave it behind.
In the Post Falls area, you will have access to Largemouth, Smallmouth,Crappie, Yellow Perch, Northern Pike, Tiger Musky, Rainbows, Lakers, Browns, Cutthroat.
Should you decide to fish Washington State, just jump on I-90 and head west for about two hours to Moses lake and Potholes Res, these lakes are in the desert and hold many species, Smallmouth, Largemouth, Crappie, Trout, Perch and Walleye are the main draw. You can also hit the Columbia river about an hour west of Spokane off Hiway 2.