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Flat tow or on a trailer? Either way, I think it would do it just fine. That sami shouldn't weigh more than 3500 lbs. Which would be with in the limits of a blazer. I'd be more worried about freeway rpms with a th350, 4.56's and 33's.
You are going to be right around 5K or so, depending on how heavy the trailer is. That is about all the weight you want to pull with a K5, and make sure you have brakes on the trailer.