Is anybody going from Baku to Rome for the last group game in the summer? What is your method?

I'm going to be in Baku for both games and I'm keen to leave the morning after the 2nd game, as I'm so far out of the way I want to see somewhere I otherwise would struggle to get to (e.g Tbilisi etc) before going to Rome closer to match day.

Although I'm finding it difficult to get anywhere 'nearby' for 2-3 days before Rome without it taking a really long time and/or being super expensive, any suggestions on somewhere interesting to go while being relatively cheap to get to?