Providing you and others in your party aren't on the larger size (because of a short narrow bit at the very start of the first pitch) Bar Pot is one to consider. If you have 1*40m, 1*60m ropes and an optional but very useful 2 * 5m bits of rope. One as a hand line for the "greasy slab" and the other to help pull sideways to get off the first pitch when you exit (can explain that is you decide to go). an optional but recommended! hand line on greasy slab will be welcome on your way out. IMHO the benefits of Bar Pot are:
* Nice big car park, with loo
* Very pleasant walk up (especially if you pay the £2.50 and walk up the nature trail, although you can walk up a lane past a farm instead of you don't want to pay)
* A "watering hole" by the car park

* Easy navigation, follow a big path
* Good route description available in CNCC website with rigging guide
* Simple SRT, this is "chuck a rope down a hole" territory, no rebelays or rope ninja skills
* Videos and info on YouTube so you can research what the entrance looks like and no worries you're starting off down the wrong hole

* Main chamber is <bleep> impressive and worth going to see
* Only 2 srt pitches involved
* The "big pitch" is only 30m (vertically but more rope needed) so if you can climb out of Eldon you have this one covered for sure.
*Everyone and their dog has been down bar pot at some point so lots of advice on route etc, ask anyone
Opinions will differ, but I think it's a fine intro to Dales that is a "big adventure" but actually easy SRT.
There is a notable caveat (warning) that the first pitch is a bit narrow in the top 2 metres. Nothing extreme and fine for normal proportion people, but if you or members of your party eat too many pies, it will bite you on the backside.
Beyond that, look at Ari's rope calculator already linked above