There's one on the leadership currently, and I think one's been done on all 100 Senators before, but never to my memory on a dream House delegation. Though 435 is obviously way too many to do so I would strongly recommend you only do your state.
It is a dream, so this can be as unrealistic as you want it to be.
Mine for Ohio's:
Senator (Class I) -
Sherrod Brown (D)Senator (Class III) -
P.G. Sittenfeld (D)Ohio's 1st congressional district:
Micah Kamrass (D) (or possibly Connie Pillich (D) or Alicia Reece (D))
Ohio's 2nd congressional district:
Jerry Springer (D) Ohio's 3rd congressional district:
Mike Stinziano (D)Ohio's 4th congressional district:
Dan Ramos (D)Ohio's 5th congressional district:
Joel M. Kuhlman (D)Ohio's 6th congressional district:
Lou Gentile (D)Ohio's 7th congressional district:
John Boccieri (D)Ohio's 8th congressional district:
Anyone But Boehner (D or R)Ohio's 9th congressional district:
Nickie J. Antonio!!! (D) Ohio's 10th congressional district:
Nan Whaley (D)Ohio's 11th congressional district:
Nina Turner (D)Ohio's 12th congressional district:
John Patrick Carney (D)Ohio's 13th congressional district:
Kathleen Clyde (D) (once Ryan runs statewide)
Ohio's 14th congressional district:
Armond Budish (D)Ohio's 15th congressional district:
Heather Bishoff (D)Ohio's 16th congressional district:
Betty Sutton (D)