Much simpler to drag it down to the tire shop and let them deal with it. Likely faster overall too as they will pull out multiple large floor jacks and have the pneumatic guns to get them on and off quickly and put the new tires on the rims right then and there. If you do two at a time, you presumably have to take 2 off, run down to the shop, wait while they swap them out, return, put them on, rearrange the ramps, pull the 2nd set off, run those down to the shop, wait again, then go back and put them on.
That said, if you really want to do it yourself, the ramps should work fine. Doing both at the same time would be the way to go as only using one would put a pretty good twisting force on the frame and possibly cause the overhang to hit the truck bed as it leans to one side.
I wouldn't worry about overloading the tires as someone mentioned. This is all going to be low speed. The tire load ratings assume dynamic loading. This is much closer to static loading. Let's say it's a tire rated for 3000#, hitting a pothole at 60mph is going to generate far more than a 6000# force the tire has to hold in a slow speed (near static situation).
Do make sure to block the tires well. If the truck manages to slip out of park, there will be a lot of force trying to roll down those ramps.