Go to Jingling instead? (and/or Aquamole, both fairly water-resistant, or Toyland in Valley Entrance although that was rather damp the one time I went there so maybe not in the wet). If it's really wet, Jingling is generally OK but there is also Bull Pot of the Witches which is totally waterproof. Lancaster Hole is also _mostly_ waterproof although I did it recently when it was worryingly wet! Two/three pitches is usually plenty, I find, for new SRT cavers...
Obviously none of them are a pull-through - but I'm not sure I'd want to take SRT novices on a pull-through trip with lots of pitches. If nothing else, it could take a very long time! (I'd wouldn't be surprised if you spent at least half an hour per pitch with a group of 4/5 new SRT cavers - it takes a long time to rig and test your descender, and deal with the inevitable faff like loading your cowstails, with new SRTers).
Also weather forecasts more than a day or two ahead is about as much use as my advice on here
The YDG page has this thing which (in one of the readouts) shows you the recent rainfall there:
Check out the current weather and caving conditions for Settle and the Yorkshire Dales.
www.yorkshiredalesguides.co.uk
Obviously rainfall amounts will differ (somewhat) between there and other parts of the Yorkshire 3 Peaks area, but it shows it has been very dry here for a couple of weeks now. That would suggest the caves should be quite dry - but also runs the risk that an unexpected thunderstorm would dump all of its water into the caves as it wouldn't soak into the dry ground!