Carrygerry Country House, Newmarket
Oakwood Arms, Shannon
Shannon Court Hotel, Shannon
Bunratty Castle Hotel, Bunratty
Airport Manor B&B, Shannon
Beechgrove Farmhouse, Newmarket
Golf View Guesthouse, Newmarket
Fergus Lodge, Newmarket
If you're more in the line for a house, Ennis would be the closest I think.
Shame about the Clare Inn, its right next door.