Hi,
I live in Basingstoke as well. You should look out for races organised by Tadley Runners - they're a friendly club and they have some good races.
I'm doing their 10 mile road race on Sunday if you fancy it. Starts off at Hurst Community College. You can enter on the day.
I also did their 10K in the Summer and they do a good cross country in December.
Also, have you looked up Reading Roadrunners? - they organise some good races. I did their Shinfield 10K in the Summer and also their 10 miler in February.