Parking/riding/walking

I don't know how convenient it would be for you to get to the train station but you could get a train to Hamilton Square and then another one to Chester although this would probably take close to 2 hours. You'd also have to walk to the building from the train station which could take another 20 minutes, so I wouldn't recommend this unless you really don't want to drive. You could bike there as well though if you don't mind cycling for 2 hours.