Anyone know anything about Norwich? Wiki makes the town seem pretty interesting.
I will definitely put in a plug for Norfolk, which I think might satisfy quite a few of your criteria.
Being on the east coast we have low rainfall compared to many other parts of the country. Winter temperatures are often a few degrees lower than the west, but the winters are drier on the whole (even if it doesn't
seem like it sometimes!).
House prices have been climbing rapidly in recent years, but are still much better value than you'll find anywhere in the southeast. As with all areas, there are certain neighborhoods which are more pricey, but on average your pound will go much further here.
The county is largely rural with small towns and villages, and the density of population is way below the English average, so we have plenty of space and fresh air. The crime rate is consistently below the national average too; in fact the last statistics I saw for my district (North Norfolk) our overall crime rate was only about half the average.
I'm not a big city person, but as cities go, Norwich is certainly far more pleasant than many. Like all larger cities there are a few residential areas best avoided, but as far as just commuting and working are concerned, there's very little to worry about. There's a huge new hospital on the west side of the city which opened just a few years ago to replace the old one which was in the city center:
http://www.nnuh.nhs.uk/There are dozens of villages around Norwich which are a very easy commute. I'm right on the coast in a tiny dot on the map about 20 miles northeast from Norwich, and it's about 45 minutes drive into the city from here. Also, as much as we "country hicks" might like to avoid the city during rush-hour because of the "heavy traffic," in reality it's nowhere near as bad as in most places. Once you get out into the countryside congestion just isn't a problem.
The main downside for a lot of people to this area is finding work due to it being a small town/rural county, but if you're willing to travel into Norwich for work I would think you shouldn't have too much trouble.
I'm not sure about the days of sunshine there. It's near the North Sea coast & they do tend to get walloped with both rain and snow from storms coming off the North Sea.
We seem to do quite well on sunshine in the summer, but the coastal parts can certainly be a little windswept in winter (I'm literally right on the coast - my backyard runs onto the sand dunes above the sea defenses on the beach). The little country backlanes can also end up rather muddy at certain times of year when the tractors have been trundling in and out the fields and it's been raining.
There are some very nice seaside communities, beaches & nature reserves in Norfolk.
A couple of miles from me:
http://www.seapalling.com/