Pristina remains one of the more delightfully obscure endpoints for a premium cabin itinerary, and there is no nonstop way to get there from central Ohio, so every business class from Columbus to Pristina booking is going to route you through at least one major European or Turkish hub. In practice, that means Delta connecting via Amsterdam or Paris in partnership with its joint venture partners, Lufthansa funneling you through Frankfurt or Munich, or Turkish Airlines building an itinerary through Istanbul—and after many years of routing myself through the Balkans, my strong preference is Istanbul. Turkish Airlines' business class product, with lie-flat seats and a full à la carte dining service that actually delivers on its reputation, makes the long haul from Columbus tolerable, and the short Istanbul-to-Pristina hop feels like a formality rather than a slog.
Lufthansa is worth considering if your dates align with their newer Allegris business seats, though route assignment for Allegris aircraft is still inconsistent enough that you shouldn't count on it for the transatlantic leg out of Columbus—call and ask specifically which aircraft variant is scheduled before booking. Delta's option, typically paired with Air France-KLM metal across the Atlantic, gives you access to KLM's World Business Class or Air France's Business suite depending on the connection, both perfectly comfortable but not the standout of this trio. Whichever carrier you choose, build in real connection time at your hub—Istanbul Airport in particular is enormous, and even business class fast-track security can eat forty minutes during peak Turkish Airlines bank departures in the early morning.
Seasonally, this route quiets down considerably outside of summer diaspora travel, which is exactly why January through March and October into November consistently produce the strongest business class availability and fare value—airlines open up more premium inventory when demand from Kosovo's large expatriate community in the US and Germany eases. Given how thin and irregular award and discounted business fares can be on this specific city pair, I'd strongly recommend setting up automated fare tracking rather than checking manually, since worthwhile Columbus to Pristina business class fares tend to appear briefly and get snapped up fast.