When I visited Anchorage, Alaska, I wanted to find a Latin Mass to attend; they didn’t have one, but they did have the Dominican Rite. I definitely can’t adequately answer your question - but the only thing that I remember noticing that was different between a Roman Rite (Extraordinary Form) Mass and a Dominican Rite Mass was that they did some sort of Offertory at the beginning of Mass, and that they prayers at the foot of the alter were a little bit different. Otherwise, I didn’t notice anything. I’m sure there were probably a few other minor differences, but I had heard before that there isn’t much difference between the two. I wanted to compare side by side the texts for the Mass to see if there are many more differences but never got around to searching.