There are many ways to get to Hadrian's Wall. However, for we colonists the first step is to actually get to England. Unfortunately, this means flying since we don't have the time or the money for a cruise across the Atlantic. Once we have survived the cramped Atlantic crossing amongst the rest of the peasants in economy class, we have a car waiting for us. We don't mind driving in the UK as one of us is British and the other one has done a lot of UK driving. Here is a photo of my car from last year - a cute little red Ibitha (I called her Ida) which got 70 miles to the gallon. Take note American car manufacturers!
This year we are getting a somewhat larger car, since there are three of us AND we are actually splurging for an automatic. Who needs to shift gears when you don't have to?
For the non-Brits who are a bit intimidated by driving on the "wrong" side of the road, fear not. Behold - the Hadrian's Wall Bus, also known as the AD122 (which happens to be about the year The Wall was started).
During the summer months, the AD122 runs between Newcastle and Carlisle, stopping at the major attractions/villages/car parks along the way. http://www.northumberlandnationalpark.org.uk/hadrianswallbus
So even if you drive to The Wall, you can leave your car and tour the sites by the AD122. It will also allow you to stop at various pubs along the way and not have to worry about driving!