Honda Fit Tires

A friend hs a 36 ft bounder and tows a Honda Fit. They have had the Fit for about a year and bought the 2012 Fit used with 800 miles on it.
On the Fit, they have had to replace 5 tires in a year. they went out to AZ and CA for the winter. Tire places say low profiel tires are very sensitive.

any one else experience tire problems with towing a Honda Fit.

thanks.

Cindy