Preheat oven to 350°F. Lightly grease a baking sheet.
Cut the peppers in half length-wise. Remove the tops, seeds and white membrane from the inside. Place on baking sheet and drizzle with 2 tablespoon olive oil. Place in the oven for 15 minutes.
While peppers are cooking, slice cherry tomatoes in half and thinly slice the basil. In a medium size bowl combine feta, tomatoes and basil. Add a pinch of salt and a few cranks of freshly ground pepper. Stir.
When the peppers are finished cooking, evenly stuff with the tomato mixture among the 4 pepper "boats" and drizzle with the remaining 2 tablespoon olive oil.
Place peppers back in the oven for another 15 minutes. (Your kitchen will smell heavenly.)
Remove peppers and let rest for 5 minutes before serving. I like to add a fresh basil leaf on top to make these really stand out. Enjoy!
Notes
Transform your tastebuds to be a little more Italian. Talk with your hands and take your time eating.