You will have to settle between yourselves which itinerary you will choose. You cannot do both.... unless you plan VERY efficiently.
You will be able to do the Peloponnese thing VERY easily, by renting a car at the Airport ... the road to Corinth is a modern 4-lane highway, (NO athens driving), and about 90 easy-driving minutes to Corinth/Ancient Corinth. After Corinth, another great spot just 1/4 mile off the highway before the Nafplio turn-off is Ancient Nemea -- the sister site to Olympia, it has a stadium, temple, museum, etc.. but NO tour crowds! You could see it in 45 minutes. In Nafplio you can enjoy the Old Town (fabulous World Heritage Site). It has castles, fortress, history! and you can cool off afterwards at the cute pebbly town beach, or nearby is terrif little beach at Asine. On another day, you can do a "ruin-a-thon" to Mycenae, then Tiryns, then Epidaurus ... THEN a beach.
IF you planned well, you COULD do the above in 3 days/nights, and still possibly see Santorini, if you're willing to "pop" for airfare both ways. Return car to airport, book in advance the next flight via Aegean Air or Olympic Air to Santorini for 2 nights. To be SAFE, fly back in late afternoon the day before your return flight to the US. There are 2 places to stay near the airport that won't break the bank -- Peris Hotel and St Thomas B & B. Both would pick you up at the airport, and Peris will drive u back if your flight is not too early. Peris is about €50 with continental, St. Th is a bit over €100, but has a pool and buffet breakfast.