Al...
Being a Yorkie, I will get the ball rolling for you...
Have a look at the York and Leeds AA books you can get day tickets on all the waters contained in these from any of the local York Tackle Shops...
Heres a couple of my favourites which is what you are really looking for a recommendation...
Boston Spa which is just through Tadcaster on the River Wharfe controlled on day ticket by the Lower Wharfe Angling Centre, a friendly bunch they will put you on a fish or two...
Myton on Swale this is located North of York off the A19, if memory serves over towards Helperby, The fishery is controlled by Myton Grange Farm (next door to Morrisons Mansion from the supermarket chain) and they run an Honesty box its only 3 for a day, no fishing before 7am, if you are up that way you could have a look at Topcliffe this is the famous Black Bull strech but unfortunatley it is now syndicated, however if you stand on the road bridge and feed bread crust upstream you will get the monster chub and barbel feeding and taking free offerings, no good for fishing but great to see...
Hope this helps...
DaveM