Terri, I think maybe you have found the perfect rose. I have been saying for fifteen years that the perfect rose would:
1) be very generous with its flowers
2) repeat through the season
3) be very fragrant
4) be resistant to disease
5) be attractive in the garden as a shrub.
For propagation purposes, it would grow well on its own roots. And for wow factor it would have large flowers.
It sounds like you've got the rose with all these qualities.
If DA roses can't ID it, I think you should propagate it and sell it on e-bay as Horatio Alger or something like that. I'd buy one.