What's your special place? My place was only a thousand miles from my house and not something I had to get to via something like an Antarctic expedition.
I felt most like an explorer when I visited the central Sea of Cortez coast on the Baja California side. We saw the area via boats we trailered down, hiking, scuba diving, and offroading.
Here's Isla San Idelfonso, an island 10 miles off the coast of Baja. The closest town is a 2-hour offroad drive from the nearest beach on the mainland. It is a place that had no signs of humans. For a week we scuba dived on its reefs, jumped off its towering cliffs, and fished off its coast. There I felt like an explorer.