You are right. Lots of good info.
Here is my 2 cents about the truck. All trucks come with a rating of what they can tow. Make sure you know what your truck is capable of before you shop for your camper. The closer you get to the rating, the more difficult it will be to tow. I don't suggest towing at a "Rated" capacity if you can at all help it. You will find issues like fuel economy and sway will play into it not to mention slower towing up hills (and potentially harder braking going down hill.)
When looking at the towing ratings remember there are a couple of different ratings. Tongue weight, Gross vehicle weight, Gross Axle weight, combined weight, etc... With the camper, the weights are often given as Dry and gross. Dry is (typically) as you get it from the dealer without any luggage, food, waste or water. I also don't think it includes things like the weight of the LP gas, so keep all that in mind. You should probably look at the max (gross) weights to determine worst case. (If max gross weight of the trailer is 10000# and you can only tow 9500#, you could have issues.) The dually may or may not be a factor. Certainly it will make towing, in many ways, easier, but the trade offs (as others have mentioned) might not be worth it.
We have a Coachman Capri 27TBS TT with one slide. It has worked well but we are ready to get a little larger. I want a 5er but finding one with a bunkhouse that we like (and can reasonably afford) is proving difficult. We pull our TT with an F250 (Gas not Diesel) and it pulls it fine. I used to use a F150 and it did well, but the F250 is much nicer. Is it needed? No, but it is nicer. Better MPG when towing and absolutely no struggle, however, Higher maintenance costs, registration costs, insurance, truck payment, etc... I could do without.
I suggest if you already have the F350, find it's limits and stay (ideally) 10 to 20% below the limits and you won't be disappointed, whether it's a TT or 5er.
Happy Camper Hunting.