I'll take a peek when I get home
I am home

Yep, Annatar was spot on. In the Player####.ENTITY files, about 2/3 of the way down there is a section that starts like this:
hudSkinData
. . . . . loadScreenCharacterBrush "LoadScreenCharacterTech"
. . . . . fleetIconCount 10
. . . . . fleetIcon "MainViewIconFleetTech0"
. . . . . fleetIcon "MainViewIconFleetTech1"
. . . . . fleetIcon "MainViewIconFleetTech2"...
Above it is the music data for the race, and the first line in hudSkinData, as you can see, is the character to use on the load screen. Now you would have to follow that in the
Window Folder and find the right .BRUSHES file. Inside that would be the location and dimensions of the image to use for the character.