This will be a 5 day trip and I'm going b&b style. I want to be far from the touristic crowds. I will hire a car.
Hi Anke, I'm also heading to Gran Canaria on a solo trip (next week), so am watching the answers with interest!
I'm staying in Tejeda for a few days for walking, as the Parque Natural Tamadaba has been recommended to me. After that I'm having a few days in Las Palmas de Gran Canaria and am planning on avoiding the resorts in the south if at all possible! Sorry that's not a very comprehensive answer, but looking forward to seeing more responses :)
Have a fantastic trip,
Mentioned in this answer:
No place on Carrizal is more away from tourists then Playa Gui Gui. It can only be reached by boat or a VERY exhausting walk. There are no shops or toilets, so make sure to take at least 2 litres of water with you.
I have writte abot it on my travel blog, if you are interested: http://www.beingboring.de/blog/playa-guigui-strand/2015/01/18/