Airbubba, it seems you're spot on. According to the
Wiki thing, the current version of EAL has one 737-700 with 64 "business" class seats. This is the Trump/Pence plane.
I believe it's N278EA, aka
"Spirit of the American Soldier." For spotter value, this aircraft originally started with Maersk Airlines in 1998 and then went through some others in its
history.
They have a couple other aircraft in the mix other than the four 162-seat 737-800s as can be seen on the Wiki link above.