Roosevelt/Wallace: 236 electoral votes
Dewey/Bricker: 236 electoral votes
Russell/Wright: 59 electoral votes
No.
President Roosevelt keeping incumbent Vice President Henry A. Wallace on the 1944 Democratic ticket wouldn't do that much damage, even with Richard Russell running as a third party candidate in 1944. Though why would Russell run as an Independent in 1944, when he didn't in RL when he didn't have a real reason to do so? If you say this is a What If timeline, I shall be very pissed Mr. Porter.