After extensive research I got in touch with Stefano, the Italian owner. I booked the "Tropical Gecko Studio" for 2 weeks directly through Stefano and wired the money to his Barbados Account. Felt a bit risky at but worked out perfectly! Everything was as promised when we arrived and I got a much better price, which saved me about 200 US$.
The appartment is well maintained, clean, has all the utilities you need (incl. fast WiFi and a well equiped kitchen for a bit of cooking), offers a spacious patio with hammock and roof and an additional outside shower for a quick splash during hot days.
We had quite a few questions during our stay and Stefano was always helpfull, be it personally, via E-Mail or WhatsApp. He helped us find a good surf school, get a rental car on short notice - which was even delivered to our door step, and generellay helped with a great amount of tips for the island. Thank you again Stefano - we had a great time!
The appartment is in a quiet area with the beach and a beach bar/restaurant 2 min away. The next mini mart (small convenience store), which is also the closest bus stop, is a short 5 min walk away. We regularly used the mini buses to go to Bridgetown (just 2 BBD / 1 US$ per ride). The ride to the closest supermarket, Miami Beach and Oistins in Bridgetown take about 20min. The mini bus is a low-cost and convenient alternative to a rental, if you want to explore the South Coast.
All in all we really enjoyed our stay a lot and we will probably come back to visit again!