Hello and welcome from NC. I would go much lighter than that with the trailer. The loaded weight of a 7000 lb dry weight trailer will easily be over 8000 lbs and will likely be way over your payload. Look inside your trucks door jamb for a tire loading sticker. On that sticker it will say "occupants and cargo should not exceed x lbs". This is your payload. You need to subtract the weight of all occupants, pets, and gear that will be in your truck when towing. This will then be your available payload. The loaded tongue weight of your trailer should not exceed this number. Loaded tongue weight ideally is 13-15% of the trailers loaded weight. Not knowing how much you will load in your trailer, it is best to calculate your tongue weight utilizing the trailers gvwr. Lots of math calculations but well worth it if you want to keep your current tow vehicle.
2014 Crew Cab Chevy Silverado 3500 4wd Duramax/Allison
2014 Sabre 34REQS-6