New York City

Here's an ideal itinerary for 3 days in New York City that meets all your constraints:

Day 1:

• Start your day with a visit to the iconic Empire State Building. Take the elevator to the top and enjoy the stunning views of the city from the observation deck.
• Next, head to Central Park for a leisurely stroll. Take some great pictures of the park's beautiful landscapes and landmarks, such as the Bethesda Fountain and the Bow Bridge.
• For lunch, head to By Chloe, a vegan restaurant that offers delicious gluten-free options. Try their gluten-free mac and cheese or their quinoa taco salad.
• After lunch, visit the Metropolitan Museum of Art. This world-renowned museum has an incredible collection of art and artifacts from around the world. Take some great pictures of the museum's stunning architecture and exhibits.
• For dinner, head to Senza Gluten, a restaurant that specializes in gluten-free Italian cuisine. Try their gluten-free pizza or their homemade pasta dishes.
• End your day with a rooftop cocktail at The Ides, a trendy rooftop bar in Williamsburg. Take some great pictures of the Manhattan skyline from the bar's rooftop terrace.

Day 2:

• Start your day with a visit to the Statue of Liberty. Take a ferry to Liberty Island and enjoy the stunning views of the city from the statue's pedestal.
• Next, head to the 9/11 Memorial and Museum. This powerful museum pays tribute to the victims of the 9/11 attacks and offers a glimpse into the history of the World Trade Center.
• For lunch, head to Hu Kitchen, a restaurant that offers delicious gluten-free options. Try their gluten-free chicken and waffles or their grass-fed beef burger.
• After lunch, visit the One World Observatory. Take the elevator to the top and enjoy the stunning views of the city from the observation deck.
• For dinner, head to Risotteria Melotti, a restaurant that specializes in gluten-free Italian cuisine. Try their gluten-free risotto or their homemade gnocchi.
• End your day with a rooftop cocktail at Westlight, a trendy rooftop bar in Brooklyn. Take some great pictures of the Manhattan skyline from the bar's rooftop terrace.

Day 3:

• Start your day with a visit to the High Line. This elevated park offers stunning views of the city and is a great place to take some great pictures.
• Next, head to the Chelsea Market. This indoor food hall offers a wide variety of gluten-free options, such as gluten-free doughnuts from Doughnuttery or gluten-free cupcakes from Eleni's.
• For lunch, head to Friedman's, a restaurant that offers delicious gluten-free options. Try their gluten-free fried chicken or their gluten-free grilled cheese.
• After lunch, visit the Whitney Museum of American Art. This museum has an incredible collection of contemporary American art and offers stunning views of the city from its rooftop terrace.
• For dinner, head to Lilli and Loo, a restaurant that specializes in gluten-free Chinese cuisine. Try their gluten-free General Tso's chicken or their gluten-free lo mein.
• End your day with a rooftop cocktail at The Roof, a trendy rooftop bar in Midtown. Take some great pictures of the Empire State Building from the bar's rooftop terrace.