Couple of ideas for you Craig;
1. Head on down the M3 /A31 into Dorset for the Piddle (particularly) and the Frome....recommended....
http://www.goflyfishing.co.uk/
2. Check out stillwater fisheries that offer river beats as well, these can often be fished on a combined ticket. From my own fishing, Avon Springs has a nice stretch of the upper Avon, and the section of the River Dun at Holbury Lakes also gives some interesting and challenging fishing. There are several others of course.
3. Have a look at Barton Court, on the Kennet above Newbury.