I spent four nights at Vladislava's place, a cozy apartment just outside the city center, easily reachable with public transportation (even from the airport) and in walking distance (15min) from Old Town/station/city center. Vladislava is a great host, nice and easy going, super friendly but never obtrusive, always willing to help navigating the city (where to go, which transportation to use, etc). The room she's renting is big and comfortable, easily suitable for two people, and the apartment is pretty cozy as well. Wi-fi works perfectly. I will definitely come back if I am Riga again!