Tire plugs and thug plugs.

Best bet is while in the garage pull the valve stem and deflate the rear tire. Then connect the pump and see how she does. Far better to find it is or isn't up to the task in a controlled environment.While there are literally dozens of inflators choose from, I settled on this one and carry it all the time (along with a couple of repair kits, including Nealey and Slime):
It’s worked well for me just topping off the pressure; haven’t tried it yet on a full inflate, but I imagine it’s up to the task.
After 500K plus miles and trying about every tire patching option out there only one has met my expectations! Nealey tire repair and portable pump!
I'll "third" the Nealy Kit. Years ago while doing an Iron Butt ride, I stopped briefly at a truck stop for a break and noticed a driver plugging an 18-wheeler tire. I asked him about his kit and he said he got it from Neeley. I've been using them for years, mostly on others' tires. I've fixed our car tires using Neeley's kit, too. I like not having put mess around with the glue. Great product!I'll second that Nealy kit.