I stayed at EcoFinca Los Frailes between Jan and Feb with my husband and my baby boy and I was enthusiast of it. Alberto (the owner ) and his colleague Ricardo were extremely helpful and the place was spotless clean and very functional. The location is a very remote one ( which we really liked) but considering the short distances of Lanzarote it was perfect. The house is spacious for a couple plus baby and the bathroom is very nice with the lava stove wall and the big window. We used a lot the little kitchen and so was impressed by the reliability of Wi-Fi in such a remote area.
We lived the fact that the place is close to the little town of Teguise ( which I loved ) and the volcanoes national park. I' d say this is the right place if you want somewhere out of the touristic route and enjoyable ad a couple/little family .