MO, NJ, and WI were close enough that I see this map as a realistic possibility:
Humphrey/Rockefeller 43.2% / 232 EV
Nixon/Agnew 42.7% / 261 EV
Wallace/LeMay 13.7% / 45 EV
I have bumped up Wallace's PV% ever so slightly, and have not reallocated 1 EV in NC to Wallace.
Humphrey wins the PV. No one wins the EC. Wallace electors hold some power. Do they vote Nixon? Does the House decide?
This gets very, very messy.
One of Wallace's main goals was to force an EC deadlock and use that as leverage to end federal desegregation efforts in the South. Would Nixon have gone for a bargain on those terms to become President? It's possible. But if he didn't...
The new House had 26 state delegations controlled by the Democrats -- exactly enough to choose a President. 19 were controlled by the Republicans, with the other 5 evenly split between the parties (and presumably abstaining as a result). If all 26 D states voted for Humphrey, he would be elected. HOWEVER...5 of the 26 were the states you gave to Wallace. What would the Democratic Congressmen in those states do? It's certainly plausible that enough of them would vote for Wallace (or Nixon in the event of a Nixon-Wallace bargain) to prevent the House from electing a President. They would NOT have enough to elect Nixon, assuming the 5 split states stay sidelined.
The new Senate had 58 Democrats and 42 Republicans. In theory, this should mean that the Democratic candidate was elected VP (and acting President if the House stayed deadlocked). But again...a bunch of the Democratic Senators were from the South. How many of them would abstain or vote for Agnew rather than Nelson Rockefeller, a very liberal Republican and strong advocate of civil rights?
This scenario reminds me of the AH-like book
Our Next President: The Incredible Story of What Happened in the 1968 Elections by Russell Baker, written in
1967. (Here's an
article about the book; I read the serialized version in the
Saturday Evening Post at the time.) LBJ runs again, but fearing a primary challenge from Robert Kennedy, he maneuvers Humphrey into resigning as VP to become Secretary of State, then appoints RFK as his replacement VP (and running mate in '68). The Republicans nominate NYC mayor John Lindsay, with Texas Sen. John Tower as his running mate. Wallace does better than in OTL, and the election goes to the House and deadlocks there. The Senate elects RFK as VP, and he ends up acting as President thereafter.