Yeah, I could not find a DHL drop off point in town. Not sure they can send a courier to your home or not to pick up an item, but they also could not promise us "next day". If something isn't urgent I may try them.
UPS could not guarantee next-day. FedEx is disavowing any sort of next-day service, saying it was never going to be next-day from when they received it. (Of course, they shipped it out of the country Thursday night, so if it had gone to the correct country it would have been there today.) Honestly, I am unable to find any service here that will reliably take documents from one country to the other overnight, or the reverse.
If I have to have anything go to Ireland urgently again, my best bet is to get on an airplane with it. Seriously. It'd cost more, but get there. Hope your package has better luck.