You will be well over your weight rating and not by just a little. Being within a thousand pounds with a dry RV is begging for failure.
This is a mistake we only make once in life. Mine was many years ago so I speak from experience.
Here's a little secret I learned.. A TT can weigh more than it's dry weight even when it's still dry and empty.
The reason is because the "dry weight" does not always include the toungue weight.
My TT's GVWR is 10,400# and the weight on the axles is 9300# (nearly 1500# more than is advertised...) Great eh? I have 1100# of capacity!
That doesn't count the 1400# the tongue weighs!! (which btw is almost 500# more than it supposed to weigh.)
So my trailer actually weighs 10,700# or 500# over it's stated GVWR and that's the real load on the truck.
Long story short, I can guaranty you will be over by at least 1000# and maybe much more.