The Yorkshire Dales- The original TV series and the movie was filmed in Wensleydale and surrounding Dales.
The new TV series was filmed around Grassington. You get there via train to Skipton then local bus. This is a very healthy budget for anywhere in the Dales.
With a good budget and assuming you mean Grassington, why not the Devonshire (aka The Drovers Arms). You can only spend about half that budget there.
You may be interested in this location guide (old and new) for All Creatures......- https://herriotcountry.co.uk/wp-content/uploads/2021/05/All-Creatures-Great-and-Small-Trail.pdf
This is the Dales bus guide- https://www.dalesbus.org/
From Grasmere I would either take the 555/554 bus north to Carlisle for the Settle/Carlisle line to Skipton, or the 555/599 back to Windermere, train to Lancaster, change for the train to Skipton.
The two routes are six of one, half a dozen of the other.
Then afterwards train Skipton to Leeds, Leeds to London Kings Cross.