The whole coastline has a pretty good highway infrastucture so distance/time is very relative. If you want to avoid the busy Lisbon area, and by infrastructure you mean, schools, shopping centre, hospital, etc, nothing big but all the modern convienences. Perhaps Torres Vedras is a location for you. Its real Portugal, 20 min drive to the beach (once the highway is completed it will be much less), windmills, rolling hills. 40 min from Lisbon. Property prices aren´t exagerated.

Rainfall, well, this year has been a bit diferent to the usual since the southern region of Portugal has suffered from higher rainfall this year than the northern region which tipically takes the prize. I´ve been to England and Ireland and I can safely say, any where in Portugal the weathers better. Ive regularly traveled up and down Portugal and have been linked to the property market. If you need further specific info, let me know