I can't believe a 2010 would not have black tank sensors, heck even my 2005 hybrid has sensors.That said, they aren't that accurate, so I don't rely on them.
I'm also a little surprised you have warranty coverage for a 2010, but even if they do fix it, don't trust the sensors for long. Your experience and a flashlight down the toilet will be much more reliable in telling you when it's time to dump.
2016 Bullet 274BHS
2015 Silverado 1500 Double Cab
Andersen WDH