Paige, a lot depends on dates & budget; you get best help if you provide these, because it can make a BIG difference --
NEAR AIRPORT #1 -- Peri's is a modest place used to be about (€75-80) as noted no dinner, but can have a pizza delivered to your room, not that festive, but nutritious. They have continental breakfast I think, and can shuttle you back to the airport (without charge I believe). At Airport, 24/7, every 20-25 minutes an X93 express bus (€6) goes to the KTEL Kifissou Bus terminal for the Nafplio Express bus (takes about 1 hour outside of rush hours).
NEAR AIRPORT #2 -- Hotel Avra free shuttle to/from (IF u book at same time as room); 25min ride, to Village of Rafina...hotel is 200 yards from small shady town square w many cafes for a light meal; hotel has cafes. main diff to Peri is single room maybe 50% more. Same x93 bus from Airport in AM, to Get Nafplio bus.
CENTRAL ATHENS OPTIONS: INTO central Athens, then AM Taxi to The Nafplio Bus terminal. Options & costs
(1) Book a Car service online either Welcome Pick-ups or City Cab, (which is really a car service) ... charge ulntil Midnight is about €40 flat-fee to central athens, pay by credit card, driver meets you aat baggage claim with your name on card. (There is a taxi line w same rate, but sometimes drivers try to scam newcomers)
(2) From Door 5 of Airport, take X95 Express bus to Athens Central Square, Syntagma; leaves every 20-25 minutes €6, takes about 1 hour. Upholstered seats, luggage piled in central "Pen". Stops right at Curb on square. Very handy, IF you can book room nearby. Handy moderate hotels (under $100) just off square = Hotel Arethusa Hotel Pan, Best Western Amazon, Achilles and Hermes. NOTE: if yours is a weekend date early Sept, hotels may already be full... Sept is busy month for Greek doings in Athens
NAFPLIO - Nafplio express bus goes every 2-3 hours, on half-hour. (It costs about €15 one-way now I think). Reserved seats, upholstered comfy, ask for LH side for views of sea enroute. Ask your hotel to call Station night before & get timetable & plan to get there 30+ mins before; taxi about ?17? 20?. Nafplio tix (unlike other destinations), sold at table by bus -- which iis located by an exit door. Do breakfst before - bus station food is grim of course. When u get to Nafplio, decide what time u want to return & buy ticket then.