I have similar proportions, and can fit 56cm or 58cm. Standover clearance is a bit limited on the larger size,
but since my arms are also short-ish, reach is not an issue- 100mm stem on the 56, & 90mm stem on the 58.
I'd go for the smaller frame size- more seatpost exposed gives a bit of comfort.
If new to road bikes, you'd probably feel stretched out in any case, especially riding around the parking lot.