Some guys use compressed air to clear the tubes but, be aware that if the pressure is too high...you'll blow the tubes off fittings. That means you'll need to drop the headliner...HUGE (Trump) DISASTER. So for this reason, I prefer shoving a 5-foot section of plastic weed-eater line down thru the drains. There are small rubber grommets on the firewall where the drain tubes exit the cab. These grommets have a small "X" cut into them, and this creates a restriction point for dirt, mud, pine needles etc. Not sure what GM was thinking...perhaps the X keeps insects out? Most guys (including myself) cut out the center of grommets so large chunks can pass thru without piling up inside the tubes. Do a search on here and you'll find many photos and tutorials on this common H3 problem.
Also...remove the sill plate, kick-panel, and other interior trim. Suck out as much water as you can with a shop vac and fold the carpet back for about a month. You'll be amazed at the amount of water the padding soaks up. If you don't get all of the water out...your H3 will smell like a sweaty scrotum for the next ten years, and also probably rust out the floorboard.