The following comments are just my opinions and everybody has opinions, but they are honest and without bias.
Leave your boat at home. You can rent a boat here if desired or required by the water levels, but talk to the person you rent from and make sure you understand some basic safety measures for the White ie NEVER anchor in current. The anchor is to keep the boat from drifting off when you stop for lunch on the shore in a non current area and always anchor off the bow off the boat. Also, if they are running a bunch of water, keep the motor running; when you get in a bind is not the time to struggle to get a motor started. The boats aren't too expensive and are of local design an manufacture for this river. You don't want to tear your stuff up and try to make what you have work if conditions it wasn't built for.
You didn't mention how you planned on fishing or how long you planned on staying. You should strongly consider hiring a guide for the first day. Tell them up front you'd like to catch a decent brown more than a bunch of rainbows and that you want to learn some things to help you catch fish on your own the next couple of days.
There are plenty of good guides in the area. Several of them post here, but not all. If you are going to fly fish get guide that specializes in that. If you want to use bait and lures, go with a guide that does that all the time. I don't know him, but Hotdawg Guide service seems to be very successful on catching big browns with bait and lures. I do know Larry Babin at Blue Ribbon Fly, John Berry, Davey Wotten, and Steve Dally that all fly fish guide and I would be happy to spend a day fishing with any and all of them.
The new regs have helped already. There are lots and lots of decent Browns in the river and I hope you catch one. Do read and follow all the fishing regs that apply. AGFC enforce to the letter of the law and they seldom give warnings.
March is a great time to be on the river with a shot at a big brown, but the Browns feed all year. I don't have a favorite time of the year to fish. IT can be REAL Cold and Wet in March, you probably shouldn't plan on tent camping. Pack good gear. It is significantly colder on the river than outside your motel room.
Also find out when they are having the Sowbug event. The river gets pretty crowded about then. Come back for the Sowbug, but plan a fishing trip some other time.
Pay attention to this board a few weeks before you head this way. There will be posts that can help you.
Good Luck!