Hold it in the Senate Chamber and tell Nan, sorry, not enough room for your Members.
The SOTU has been a farce for the past 50 years. Just mail the damn thing in and be done with it.
I would prefer to see them rent some unheated warehouse deep inside some homeless encampment, throw in some cheap plastic folding chairs and a 43” monitor and let the house Democrats watch it from there. Oh, and they can invite anyone they want.