Podgorica remains one of Europe's most delightfully obscure business class destinations, which is precisely what makes routing there from the Bay Area such an interesting logistical puzzle. There is no nonstop option, so business class from San Francisco to Podgorica always involves a connection through a major European hub, with Lufthansa via Frankfurt or Munich, Air France via Paris-Charles de Gaulle, and Turkish Airlines via Istanbul representing the three viable carriers. In my experience, the Lufthansa routing offers the most consistent widebody comfort on the transatlantic leg, particularly on aircraft equipped with the new Allegris business suite, though not all Frankfurt-bound 747-8s or A350s have been retrofitted yet, so it's worth checking your specific aircraft assignment before booking.
The real insider move on this route is choosing your connecting hub based on the regional jet you'll fly into Podgorica, since that final leg is always a narrow-body or regional aircraft without a true business cabin in the international sense. Istanbul is my preferred connection for this reason: Turkish Airlines' lounge there is genuinely worth the layover time, with its expansive food stations and quiet pods, and IST's proximity to the Balkans means the Podgorica leg is refreshingly short. If you're transiting Frankfurt or Paris instead, build in extra buffer time, as Balkan-bound flights often depart from remote gates requiring bus transfers, something not immediately obvious from the boarding pass. I've also found that flying into Podgorica in shoulder season avoids the chaotic summer charter traffic that clogs the tiny terminal with beachgoers headed to the Montenegrin coast.
January through March and again in October and November are consistently the softest months for fares on this route, largely because Montenegro's tourism season is fiercely seasonal and airlines adjust premium cabin pricing accordingly during the off-peak stretch. Award space on Turkish and Lufthansa also tends to open up more generously in these windows. Given how thin and volatile premium inventory can be on a route this niche, I'd strongly recommend setting up fare alerts rather than checking manually, since a favorable business class fare from SFO to TGD can appear and vanish within days.