Have you found a 4x4 crew cab F-150 on a lot that you can check the payload sticker on? THE 2,300 figure seems high for a non HD payload version in your configuration. Without the HD option, you will be overloaded with either of the trailers you mentioned. Those are dry pin weights. Check the max GVW of any trailer you look at, and use a minimum of 20% of that figure for pin weight. Also remember the weight of the 5th wheel hitch also counts against your payload. You should seriously consider an F-250 for what you want to do. A margin of safety for you and your family is something to consider when you make your purchase.
What he said. Once you load up, that pin weight will increase and be closer to 2k. Add in the weight of the hitch in the bed and you're pretty close to max on payload already. Is an extra 400lbs payload in the HD enough to carry you're family? I doubt it.
Your payload numbers are optimistic too. You won't find the 3000lbs of payload you need in a crewcab 4x4 F150 either, HD or not. You need a 3/4 ton and even then you'll have to check the actual payload ratings.
