According to Coachmen's website your trailer's weights are as follows:
Tongue weight: 681 lbs.
Base weight: 4,777 lbs.
Cargo carrying capacity: 2,223 lbs.
GVWR: 7,000 lbs.
To better understand what that base weight really is realize it means the weight of the trailer without any options. And those options are what you will consider standard, such as A/C, microwave, awning, TV antenna, audio visual equipment, and maybe even some cabinets and furniture. Of course your personal gear is not included as well as any water, batteries, or propane. Therefore, the GVWR is what should be mated to the tow vehicle.
Your tow vehicle is under rated for this trailer. Also, get a very very good sway control hitch, such as the Hensley or ProPride, for that trailer. A 30 feet long trailer weighing that little will be pushed around by passing trucks and buses. and strongly affected by cross winds.