You can use your wheelchair and you'll have it immediately after arrival at the next airport. Not only does this protect your wheelchair, you can also use it until you board. On my everyday wheelchair I use gray Cheng Shin tires with thorn proof inner tubes. They are good general-purpose tires and do not scuff surfaces. The thorn proof tubes provide excellent flat protection.
Some people prefer airless tires for their low maintenance qualities.
The Mako is an airless tire that performs well on hard surfaces and on some hard off road surfaces for everyday usage. For other environments, a larger tire is best. This is especially so for those needing more floatation on terrain such as gravel, dirt and grass. Continental sew ups seem to be the choice of many of the athletes and teams for these sports. Even though I don't recommend them, the black plastic spoke wheels are very durable.