are you in the camping and caravanning club?they have a temporary holiday site every year on the outskirt of the town,fair enough it isn't a full site,but its about a 10-15 minute walk into town,and you get sea views too.only costs about
The closest site to Llandudno is probably Dinerth Hall which is a farm in Rhos on Sea area. Not sure what the facilities are but it's within walking distance of a very nice pub, the Queens Head in Glanwyddan.
Conwy Touring Park is the next best bet for distance.
Unless there is a rally on Bodafon fields which is near the centre of town, there are no sites within walking distance of the town.