We loved this apartment. Ortigia is compact and completely walkable, and this place is just out of the main hotspots, meaning it's quiet at night, but handy for everything.
It's very close to the market, and we found the kitchen to be well enough equipped (even if small, and with only a two ring gas hob) to be email to cook well at home. It's also very close to a rocky outcrop from which you can swim in the sea, and the flat is only a few minutes back round the road.
You can walk from Syracuse bus station to the flat, and from the flat to the archaeological site (although that does take a good half hour or more).
Andrea left a helpful pack of information and he was very responsive. In particular, he helped arrange a taxi back to the airport when we left, at short notice, and the driver was both very friendly and early (apparently habitually so).