Hi, locals use Maltapark.com for this purpose too, we have found ours for medium term there. Many landlords prefer 1 year contracts, but 6 months is also common. 2-3 months is considered short term here which can be expensive especially in the summer. For this type of rent the safer bet is Airbnb but there are many agents and owners around. Be careful and expect surprises here For example it's extremely difficult to find properly insulated apartment with modern AC that can efficiently heat the rooms. I would recommend March or April instead of January to get more sunshine. January can be still too rainy.
If you are looking for some rural experience close to the nature I recommend looking around Gozo. Noise can still happen there too, but the situation is mostly much better than on the main island.
Relevant facebook group: https://www.facebook.com/groups/462254710588443 (there are lots of others too)