The problem is that the link you provided, is a summary of what St. Thomas thinks, written by a guy named JFS. That's fairly useless for me to determine truthfully whether or not the Saint believed in the globe. If you have actual quotes from the Summa we can go over those. However, the real problem is that St. Thomas makes it clear that if one concludes from other sources what appears to be truth, it must be compatible with revelation, which is Scripture and Tradition. The globe is not compatible with Scripture, and no Father sources Scripture, let alone expounds so as to prove that the globe is compatible with revelation. Conversely, many Fathers and Catholics show in great detail how Scripture and flat geocentric earth complement not only each other, but science as well. And they also provide greater insight to the liturgy. The tiniest bud of the liturgical flower is laid out by God for us clear back to Genesis!
In reply #6 of this thread I linked to a translation of
De Caelo et Mundo. It is the actual work by St. Thomas and I quoted it directly. You can go to the link and read the entire thing if you want. (It is not the
Summa, but another work he wrote.)
http://dhspriory.org/thomas/DeCoelo.htm#1-0St. Thomas clearly and explicitly teaches that the earth is a sphere. He therefore must think that the globe is compatible with Scripture. St. Thomas disagrees with your interpretation of Scripture. This Saint and Doctor of the Church (like St. Bede) understands Scripture as not teaching flat earth.
Some people in the patristic period believed in flat earth but then the belief disappeared. It had not been held by Catholics for over a thousand years until a few like yourself joined into its revival promoted by heretics and pagans.