I used to drive down to monthly meetings in Portsmouth and we used to stay in the Red Lion on the main high street in Fareham. It was a nice old country type pub with modern accommodation at the rear. As I recall it had a residents car park, was down the road from the main line station for both London and Portsmouth and was close to the shops.
Having used it for work, I even stayed there with the wife when I went to see The Who in Portsmouth. It's been a few years since I stayed there, but it was really nice and well used as a first port of call for anyone working in and around that area of the South coast.