I believe this is Cinco de Mayo, but I'm not 100% sure. Whatever it is blooms nonstop. The new growth is red-toned. I didn't prune it this year at all. I know I probably should have, but look how round and full this plant is!
Cinco de Mayo Rose
Are the blooms striped with white? My Cinco de Mayo is more of a solid rusty color. Whatever yours is, it is beautiful!
They are a rusty color. The white is where the sun was hitting them. It was a scorcher out there yesterday!
Looks like Cinco de Mayo to me and your descriptions match.
I bought Cinco de Mayo because it is my anniversary and I love it. It just blooms and blooms all season.