why should you pay for an $1100 tow ?
and do you not have coach net or AAA or something besides the GIECO emg road service
the ins co, probably figures any damage possibly caused by driving on the blown out tire was on you , since you would not wait for the tow ?
your completely self contained with a 'toad'
what was the problem with getting off the highway and waiting until Monday ?
how many hours did you save IF any, by driving on the flat, getting another tire, getting back on the road, then having more problems ?
i think you possibly compounded the damage and created at least part of the problem, you want them to pay for
IDK maybe i'm wrong, but you came here asking us, and thats my conclusion
impatience causes more problems than it fixes