Curbs and trailer tire sidewall damage

So I deliver to some nasty Home Depot's as a northeast regional flatbed driver. They're in shopping malls, strip malls, or repurposed grocery stores with no docks. There's just no avoiding some of these curbs, islands, and sidewalks. They love putting in the jagged granite/quartz square curbs too not the nice smooth rounded ones. I do my best and make it through most lots without issue either completely clean or "well no missing it just run it over".

The issue I have is sometimes I think I can make it and I inch slowly through and think I just cleared it. Then in my PTI I'm seeing cuts or gouges in a sidewall because I was an inch or two off and some of these curbs are sharp as knives.

So first off, when is a sidewall damage serious enough to warrant a shop visit? The green Bible says something about belt or ply material showing but I have not noticed anything but rubber. Sometimes it's like you took your nail and gouged out a bunch and others times it's a little to medium cut.

Second, if you're not positive your trailer tires will fully clear a curb is it better to try to purposely run it over with the tread? Cleanly running it over (at 2-3mph) seems less risky to the equipment but obviously is rude to customers, unprofessional, and sort of illegal. Then you're risking tearing out chunks of tire tread, but unless you can see steel belt under the portion the curb kept as a souvenir you're good to roll right?

There's no "winning" move but that's the northeast for you.

 

Yeah I'm legitimately in the less than 2" grey zone a lot of the time with clearance so no worries on signs.

Sprinkler heads on an island are mostly going to be in the middle and unless they're actively running I'd have no idea I damaged one... And neither would the customer

 

That's part of my question. How do you evaluate a truck tire sidewall. As a company driver with 60% drop and hook loads I see lots of trailer tires with gouges, cuts, scrapes etc. Wouldn't be as bad if we didn't run some super singles trailers.