The only authorised ranges catering for fullbore rifle shooting in Ireland at the mo. are:
1. Midlands National Shooting Centre of Ireland (MNSCI), in Blueball, Tullamore.
2. An Riocht, Castlemaine, Kerry
3. Ballyhoura Rifle & Pistol Range, Kilfinane, Limerick

AFAIK - unless there's elsewhere I haven't heard about.

but is there any ranges where members of the public can do some target shooting with something a bit bigger like a 30 06

From what I understand, "members of the public" (in its general sense) can only shoot at MNSCI (not sure about the visitor arrangements at an Riocht or Ballyhoura) if signed-in and vouched for by an existing member, and the visitor must have a valid FAC for the rifle they're using and have insurance. A range fee is also payable.

I don't think there is any facility which allows "pay by day" - AFAIK this is not permitted under the new regulations.

Hope that helps - Your best bet is to contact either MNSCI, an Riocht, or Ballyhoura directly and find out what the story is from the horses mouth. Hope that's of some help.