Hello!
I've been having the hardest time setting up Free Shipping at my store. My store is synced with Printify and I know Etsy only allows Free Shipping if you set up a calculated shipping profile.
How would I do that with my store being connected to Printify?
Your statement is incorrect that Etsy only allows free shipping if you set up calculated shipping. Just make a shipping profile for free shipping and attach to your listings.
If you don't want Printify's shipping profiles syncing every time (thereby changing your shipping settings) you have to setup a fixed shipping profile with free shipping and apply it to your listings.