There's the rebuilding Ireland scheme https://rebuildingireland.ie not sure how feasible this is for the OP.
New builds require paying stamp duty as well, no one gets away from paying stamp duty. Unless you mean LPT? Which is true there's no LPT on new builds at the moment, LPT is a bit of a small fish though it's not causing people to not be able to afford a home.
But with new builds or self builds there you can claim tax back of up to 20000 over 3 or 4 years if I remember correctly. The help to buy scheme looks good on paper but you still need to have a deposit together although they will accept a 'gift payment' to cover a substantial part of this. Also I heard anecdotally that here in mayo they have only given out a handful to date and its not as straight forward as appears on the website.