I think it would be better if you leave before noon. Last time I took NJT #126 bus from Hoboken to Port Authority via Lincoln Tunnel, it was smooth ride!!
Best Radio Station will be AM Radio, 1010 Wins News Radio. Traffic Report every 10 minutes at 1 minute pass.
During the rush hour, traffic can be heavey.
I experience this on long bus ride on awful longest local #20 bus on weekdays which departed Palisade Store in Rockland County, NY @ 5:20pm. Near the New Jersey Turnpike exit to Lincoln Tunnel, bus driver had to exit highway because of terrible traffic, and then same when it came to bus lane on New Jersey Turnpike exit to Lincoln Tunnel and bus arrived Port Authority around 7:20PM, and I spent about 103 minutes in bus without the Restroom!!
When you get out of Lincoln Tunnel, avoid driving thru Times Sq, Herald Sq, 42nd & 34th Streets.
Also avoid 3rd-2nd-1st Avs near Queensboro Bridge especially during rush hour!!
Best bet will be either 23rd Street.