Rhodes rewards patience, and so does the routing that gets you there in comfort. There is no nonstop option: business class from Chicago to Rhodes requires a connection, typically through Munich or Frankfurt on Lufthansa, through London Heathrow on British Airways, or through Athens on Aegean Airlines, with total journey time hovering around 13 hours of actual flying plus connection time. My preference over dozens of Aegean-region trips has settled on the Lufthansa routing via Munich, where the newer Allegris business class cabin (when scheduled on the transatlantic leg) offers a genuine door and adjustable privacy screen that makes the long transatlantic haul feel far shorter than the eventual short hop down to Rhodes on an Aegean or Lufthansa regional jet, which reverts to a standard European business recliner — don't expect lie-flat on that final leg, and plan accordingly.
British Airways routes through Heathrow, and Club Suite, with its sliding door and direct aisle access, is worth seeking out on the ORD–LHR sector; Terminal 5's dedicated Concorde Room lounge access (for those in top-tier oneworld status or First cabins) is a genuine perk if your itinerary allows a longer layover to shower and reset before the final push to Rhodes. Aegean itself shines on the intra-European leg from Athens, and its home hub lounge at ATH is underrated for a pre-boarding ouzo and mezze spread that sets the tone for arrival. My insider tip: build in a six-to-eight-hour Athens layover on the return rather than a tight connection — Aegean allows a free stopover that lets you sneak in a quick Acropolis visit, something almost no one factors into their planning.
April, May, September, and October are the sweet spots, avoiding the August Aegean crush while still catching warm, swimmable weather and thinner crowds at Rhodes' compact airport, which handles arrivals smoothly outside peak season. Because fares on this itinerary swing considerably with fuel surcharges and seasonal demand from three very different carriers, setting up fare alerts is the smartest move before booking your Chicago to Rhodes business class seat.