Towing with a 250 inline 6?

[MrGoodpliers]

I have a 250 I6 in my blazer that is stock except for HEI. I'm going camping in the mountains in a few weeks and I was thinking about towing my pop-up with the blazer, but I'm not sure it's a good idea. I think the camper weighs about 2000 lbs and coolers and other gear will probably be another 500. The blazer has a good reciever hitch and a recently rebuilt th350 trans. It is not very spunky with the stock monojet and it only has a 2 row radiator. The road to the campsite gets moderately steep in some places. I don't care about getting there fast, only getting there without breaking something. What do you guys think?