There is no calisthenics workout that will build muscle as effectively as a weightlifting routine. That should answer your question very directly.
As Dagill has suggested, there are ways to use MINIMAL equipment that can be transported in a car without taking up much space. Resistance bands are an EXCELLENT option. You can do a lot with those. and maybe 3 kettlebells of different weights. That equipment alone would help tremendously. Maybe a pull up bar you can attach to a door frame as well.
Another thing to consider: perhaps you could purchase a gym membership to a large chain gym, or a couple chains, that you could use in the places you travel to? And when you’re in a town or city that doesn’t have those chains, you could always seek out a different gym and either try to get a free day pass, or a cheap one to use use temporarily.
Or, if you’re staying in hotels, or even motels, oftentimes you’ll have at least some kind of gym on site.
People that travel for work just have to be creative, but it can work if you put some thought and effort into it.
I will not be recommending any calisthenics routine for the purposes of bodybuilding. Calisthenics are not a reasonable substitute for traditional weightlifting. It can be a supplemental training method, but should not be primary.