It is important to note that the person who sacrifices the animal can choose not to sell its hide and use it for themselves, gift it to someone, or donate it to the poor and needy.
If a person decides to sell the hide, the ruling regarding the spending of the money obtained from this sale is the same as the ruling regarding the spending of Zakat and Sadaqah Wajibah (Obligatory Sadaqat). Thus, just like it is not permissible to spend Zakat money on welfare activities such as the construction of a road, it is also not permissible to do so with the money obtained from selling the hide of a sacrificial animal.
With this in mind, if someone is fully confident that a certain organisation will strive to spend the money obtained from the sale of the hides as it should be spent, that is, donating it to the poor and needy, then they can donate their hides to that organisation. On the contrary, donating the hides of sacrificial animals to organisations which spend the money obtained from selling the hides on welfare activities such as the construction of roads, instead of donating it to the poor and needy, is not permissible.
With that being said, donating the hides of sacrificial animals to such organisations does not affect the Qurbani in itself; the obligation of Qurbani is still fulfilled.