As a previous poster said, the 'conservative' votes would be too diluted in this scenario, allowing Bernie to win. Here's how I would tweak the scenario to balance it out. Clinton/Kaine still get the D nomination. Bernie runs an I ticket with Ellison as his running mate. The other tickets are as stated by the OP.
Reality show host Donald Trump (R-NY)/Gov. Chris Christie (R-NJ): 261 EVSec. Hillary Clinton (D-NY)/Sen. Tim Kaine (D-VA): 180 EVSen. Bernie Sanders (I-VT)/Rep. Keith Ellison (I-MN): 69 EVSpeaker Paul Ryan (I-WI)/Sen. Marco Rubio (I-FL): 20 EVSen. Rand Paul (L-KY)/Rep. Justin Amash (L-MI): 8 EVMayor Michael Bloomberg (I-NY)/Ambassador Jon Huntsman (I-UT): 0 EV
Dr. Jill Stein (G-MA)/Activist Ajamu Baraka (G-IL): 0 EV
Trump falls just short of clinching the election, so it goes to Congress. House members choose between Trump, Clinton, and Sanders. The GOP majority elects Trump, while the Dem minority largely votes for Clinton with a handful going for Bernie. The Senate casts a party line vote in favor of Christie over Kaine.