Render only object with specific material

[SidewaysUpJoe (Joe)]

Assuming your panoramas are one object and your floor is a different object.

You can use the filter and add a render toggle. After clicking the filter (1) and hoovering your mouse over the icons, you’ll see one for rendering. Then you can toggle (2).

[EDIT]
Opps… missed the part about the shadows…
Maybe this will help…

Render without object but with reflections from that object

You can do the following in Cycles, not sure if you can do this in Eevee. Full, all objects shown. [all] De-select ‘camera’ in the View->Ray Visablity for the sphere. [no-sphear] Select Shadow Catcher for the back plane. [shadow-catcher2] [EDIT] Just like @JohnMalcolm1970 said (i was a minute late to the party )