The Bible never says: "repetitive prayer is OK." verbatum. However, we can see from the example given to us from the Bible that repitition is OK. Read about the Levitical law. See how the priests of the Old Testament wore certain colored fabrics during the different liturgical seasons, made of specific materials. Even the lambs being sacrificed were tied in a prefigurative manner. Thus repitition was not just found in the words spoken, but throughout the entire worship ceremony. When Jesus was circumcized Mary sacrificed turtle doves - a common practice among all Jews.
The sum of all Catholic prayer is the Mass, given to us by Christ. Mass is said every day by every priest, generally speaking. And the credit given for the basic Roman (Latin) liturgy goes to Sts. Peter and Paul, and the Eastern liturgy owes its origins to St. John Chrysostom. These men contributed to, and existed prior to the Bible (as a whole). Certainly if repitition was bad they would have had no part in such practices.
There is a world of difference between prayer meditation and yoga style meditation. During prayer we should focus on the object of our adoration, God. That’s what "meditation" means in Catholic prayer.
There is a ton of misinformation out there about the Catholic Church. My advice is to learn about Catholicism from the Catholic Church and the wealth of information it has gathered and produced over the last 2000 years. The thing about Catholicism is this - everything fits together in an orderly fashion - so keep digging and you will find your efforts most rewarding and meaningful. Knock, and the door shall be opened.