Contact cajon builders directly to find cajons made in Ukraine. Unfortunately most big online retailers and many music stores only carry imported brands. Buying a locally made cajon cyles your income back through your local economy. Below are links to 3 cajon makers in Ukraine:
You may be able to minimize the carbon footprint of your cajon purchase by buying a locally produced cajon. Check out this link to learn more Mitigate Climate Change . Most imported cajons are shipped around the planet in big cargo ships. A locally made cajon helps your local economy and demonstrates that you are thinking about and support local artisans.
YouTube playlist of cajons made in Ukraine:
Listed above are links to the cajon drum builders in Ukraine as retrieved by Internet searches in March 2018. I am sure there are many others not listed. Please send me updates and correction if you have additional information. Thanks.