Would you really remove roses just because of black spot? Almost all of my roses get black spot at the end of our rainy season and I just live with it. It never affects the blooms, and rose blooms are the main reason I grow roses. The leaves get spotty, fall off, and are replaced by lovely spotless leaves.
The sickly canes are another thing, of course. Do you have good drainage? Is it possible that you had too much moisture this winter?