From learning about the Faith, I would prefer to be baptized according to the traditional Latin Rite. Father only offers the Mass in NO but, he does seem to know Latin. How exactly should I go about making my request made known to him? What terms should I use? Are there any resources I could offer?
I can really only suggest asking him – and being prepared to tell him why you are making the request.
I agree with what Father David has mentioned as far as this may be a demanding request of the priest and could require significant preparation for him. That is presuming his knowledge of Latin is equal to the vocabulary he will encounter in the rite. Some of us have studied Latin extensively – some of us have even taught it – but there are some who may have only a minimal knowledge from seminary…and even less facility in employing it. And, frankly, there are those who are quite comfortable reading documents in the language in the privacy of their office yet shy away from actually celebrating one of the rites in public in Latin. This rite is actually a relatively complex one for the celebrant, all the more when not done on a recurring basis.
There is a problem beyond that which has yet to be addressed in the thread.
You are (presumably) an adult who would be coming into the Church via the RCIA. That envisions being received at the Easter Vigil but that is not absolute and it can be done at another time. However, the norm is that you would be baptised, confirmed, and receive First Holy Communion at the same liturgical event.
Granted that you are asking to be baptised in the extraordinary form…
Are you also then asking to be confirmed in the extraordinary form?
If you are, you will have to pose the question as touching upon both sacraments. It has been so many years since I last did that, I would have to go back through the ritual to research the implication.
My next concern would be that if you separate out the baptism from the confirmation, how will the confirmation occur? Will you seek one after the other in the extraordinary form? Baptism in the extraordinary form and then confirmation by the priest in a separate liturgical event in the ordinary form? Or would you seek to be confirmed by the bishop at a later time when he makes either his confirmation tour or when he has a diocese wide confirmation for those adults who missed receiving it in the normal cycle?
Theoretically, you could be baptised in the extraordinary form before the triduum (but not during because of the liturgical norms governing the extraordinary form, as best I remember them) and then confirmed in the ordinary form at the Easter Vigil with your RCIA classmates with your First Holy Communion being either then or between the baptism and the confirmation.
Were I your pastor, those would be among the questions I would have beyond why you wanted it this way.
You are certainly within your right to invoke the motu proprio Summorum Pontificum to receive the sacraments of initiation in the vetus ordo…but you and the priest – and possibly he and the bishop – would have to think through the other ramifications and you should understand that this is such an atypical request, an immediate answer may not be instantly at hand.
Finally…could you clarify what sort of resources you are seeking so as to be able to offer them to the priest? The text of Summorum Pontificum that says you can request the sacraments in the vetus ordo? The texts of the rites themselves? I apologise but I’m afraid I don’t understand that part of your request.