The V8 will handle either just fine. I tow an Antigua 195ck with mine with no problems. T4Rs have a short wheelbase which doesn't help with sway so sway bars will be a must. I would also recommend a WDH. If you have rear airbags (limited?)the T4R will sit pretty level hooked up but the front end weight will be reduced leading to possible control problems. Its cheap ($250) safety and peace of mind and it will reduce bouncing etc for a smoother ride.
Keep in mind dry weights are just that, an empty trailer without options such as propane tanks, A/C, microwave etc. You can usually add 400lbs to come up with the empty wt. Then add your gear etc. For example my Antigua has a stickered dry wt of 2800lbs, but loaded lightly to camp and water tanks empty it is 3900lbs.
You mention you have the tow package? Does it include the upgraded frame mounted hitch rated for 7000lbs? If it is the base hitch (x-member mounted) you can't use it with a WDH and either trailer you mention will have a tongue wt exceeding the base hitch limit of 500lbs.