The doctrines of incarnation, resurrection and real presence certainly require us to believe ordinary language existence claims about bodies, bread and wine. It's hard to take Scripture to be inspired without believing ordinary language existence claims about plants, animals, mountains, seas, etc. But do we need to believe that there is matter?
A search of the Church Councils up to and including the First Vatican Council turns up nothing dogmatic about "matter" in the relevant sense of the word (I am not including the technical sense of "matter of a sacrament" in sacramental theology). Searching for "material" finds some talk of material weapons, material flesh, and material food and drink. But I think that it would seem to me to be an overreach to take the Councils to be dogmatically teaching that weapons, flesh and food and drink are material. Rather, the relevant distinction seems to be between the spiritual weapons, spiritual flesh and spiritual food and drink and their ordinary earthly versions, rather than teach something about the nature of the ordinary versions, except that they differ from the spiritual.
I used to think that we need to believe hylomorphism. After all, the Fifth Lateran Council teaches that the soul is the form of the body. But while this gives us the morphê (form) part of hylomorphism, it doesn't give use the hyle (matter) part. We need to believe that the soul is the form of the body; not that it is the form of the matter.
If this reading of the Tradition is right, then Christian philosophers do not need to try to figure out the knotty question of what constitutes materiality. We have to accept, in some way, the existence of bodies, bread and wine, but we don't have to say that these things fall into some philosophically important kind like "matter". The handful of statements about "material" things we can simply understand in the vague way as about "things relevantly like ordinary things around us", without thinking that matter is any kind of metaphysically or physically important kind. We don't have to worry that if it turns out on our best science that physical reality is constituted by fields rather than particles, then we will have a conflict between faith and science. We still would have to find a way of locating bodies, bread and wine within physical reality, but we would not have to identify them with bits of matter.
Of course, it may turn out that the concept of matter has philosophical or scientific use apart from the needs of faith. But I have a suspicion that thinking about the nature of the body may be more promising than thinking about the nature of matter.