Does the trailer have good working brakes? If not, I would absolutely NOT do it. If so, be careful if you do this tow. Since you mention mountains, be very aware of the downhills where the trailer would be pushing you, downhill bends especially. Get familiar with using that manual trailer brake pressure toggle.
I thought my Tundra towed those weights just fine until I got my 3/4 ton. The stability difference is remarkable, and something you wouldn't understand until you towed that weight with both a 1/2 and a 3/4 ton. I was late and found my GMC 2500 with a dead battery (my fault - I caused that), so I hooked up my Tundra with all my ATV's (~3000lbs) on a 2500lbs trailer and took off down the road. That trip was unnerving enough that I will never tow with that truck again. Strange that I never noticed it before, probably because I thought that what towing was supposed to feel like that.
If you do it, just be careful and forget about those 70mph speeds. You don't want to be like the (at least monthly) trailering 1/2 tons I see flipped over in the median of I91 in VT. There is a long downhill bend with sheer winds that eat those trucks alive. You'll get response after response saying "I owned more than that and I never had a problem", but so said all those I91 drivers too.