Charleston's modest international footprint means there's no nonstop path to Prague, but that hasn't stopped me from routing through this connection dozens of times over the years, and the truth is that business class from Charleston to Prague is entirely achievable with one smart connection and a well-chosen carrier. Delta, American, and United all offer viable itineraries, typically routing through their European gateways—Delta via Amsterdam or Paris-CDG on partner KLM/Air France metal, American through London Heathrow or Zurich via oneworld partners, and United through Frankfurt or Munich alongside Lufthansa. Delta's Airbus A330-900neo and A350 fleets, when they operate the transatlantic leg, feature the excellent Delta One suite with a closing door, while United's Polaris seats on 767s and 777s remain a reliable, if slightly dated, product on the transatlantic hop before you connect onto a Star Alliance regional jet into PRG.
The domestic-to-international handoff from CHS is where most travelers stumble, so my insider tip is this: always build in at least a 2-hour connection window at your US gateway (Atlanta, Charlotte, or Dulles depending on carrier), since CHS flights can run late in summer thunderstorm season, and missing a transatlantic connection here means losing your entire day. I've found that flying CHS-JFK or CHS-ATL early morning gives the most buffer before the overnight transatlantic leg, letting you actually enjoy the lounge rather than sprint through it. Prague's Václav Havel Airport is refreshingly manageable on arrival—immigration rarely takes more than 20 minutes even on busy mornings, a small mercy after a long night flying west-to-east.
Seasonality matters enormously on this routing: January through March and October into November consistently offer the best business class fares, since Prague's brutal summer tourist crush and Christmas market season in December drive premium demand (and pricing) sharply upward. I typically book these shoulder-season windows specifically because airlines discount award and cash fares to fill winter loads. Given how much fares fluctuate week to week on this three-airline, one-stop routing, setting up fare alerts to track pricing shifts on the Charleston to Prague business class corridor will save you from overpaying during peak demand spikes.