I tow a boat in the "pocket cruiser" family. Its slightly bigger at just over 10,000lbs with a steel Eagle tandem trailer.
I've pulled it with; '02 Ram 1500 CC 4x4 5.9l and 3.92 gears, an '04 2500 4x4 CC hemi with 3.73s, an '07 Durango he I with 3.92 gears, a '11 ram 2500 CC 4x4 6.7l ctd and 3.73s, a '14 2500 CC 4x4 ctd with 3.42s and now a '14 CC dually 4x4 with Aisin tranny and 3.73s
So what I learned is anything less than 2500 will pull it, but the boat is in charge of the truck and the truck losses the tug of war of forces between the two. It pulls it, and stops it OK, but its not really a comfortable ride.
My '11 2500 pulled it better than my '14 did probably because of the gearing, but the '14 2500 had better control of the trailer weight. Obviously my dually, which i bought to haul the fifth wheel, is the best.
Yes you can pull it. No it wont be completely in control, and yes it will get pushed around.
You settle on something yet? Mines for sale.
Here's a pic behind my '14 2500. 1,200 lb-ish tongue weight, for what its worth.
One in the water and one behind the dually.