For our honeymoon, my fiance and I are planning a 9 day trip to Rome, Tuscany (Siena), and Florence. We are most likely going to get a round trip flight to Rome, so we will travel back to Rome after Florence. We have a limited budget of approximately $2,000 each and plan to search for Air BnB's. Does the following itinerary a) make sense for travel b) not too packed so that we have time to relax as newlyweds but also see/do a decent amount of things and c) seem reasonable for our budget? Note that what's included in parenthesis are options of activities to do that i've researched and think they are within the same area and we don't have to do every single one of them or necessarily in that order.
-Day 1 - Arrive in Rome (depending on flight arrival and energy we have, Piazza Navona, Pantheon, Trevi Fountain, Spanish steps, Campo di Fiori, Chiesa di sant' ignazio di loyola church)
-Day 2 - Rome (Roman Forum, Colosseum, Capitoline Hill, Piazza Venezia, Palatine Hill, Forum of Caesar)
-Day 3 - Rome (Vatican, Sistine Chapel, St. Peter's Basilica, Trastevere Neighborhood, Gianicolo Hil)
-Day 4 - Travel to Siena (Piazza del Campo, Torre del Mangia, Duomo, Chiante Sculpture Park, Cooking Class with Nonna)
-Day 5 - Siena (Bike Tour, Hiking, Wine Tour, Wine Festival, Olive Oil/Other Food Tour)
*Trip to San Gimignano possible?
-Day 6 - Half Day Sienna/Travel to Florence (Uffizi and Accademia Art Galleries, Cattedrale di Santa Maria del Flore, Palazzo Vecchio Town Hall, Ponte Vecchio Bridge, David of Michelangelo)
-Day 7 - Florence (Mercato Centrale, Authentic Gelato around Piazza di Santa Croce, Ponte Vecchio and in Oltrarno, Cook Eat Italian Cooking Classes)
-Day 8 - Half Day Florence/Travel back to Rome
-Day 9 - Flight from Rome back home
Also, is it possible to throw in a day trip to Pompeii from Rome in this plan? Seems like we'd have to cut one of the full Rome days short. Not sure if we'd be able to do it when we go back to Rome on day 8? We were originally planning on just taking the high speed train on the final day (day 9) to get back to the airport depending on when that would be, but we are nervous about catching our flight if we have to leave Florence on the same day. That's why we thought it would be safe to go back to Rome the night before and be closer to the airport. Of course I know this depends on when our flights are, but I also read about the frequent worker's strikes that occur. Thoughts on this?
Lastly, we would like a combination of history/sight-seeing, relaxation, adventure (being active with hiking/biking), and good food and wine!
Thank you in advance!