So I was able to cobble together a solution from the animFileExport example in the Devkit:
https://help.autodesk.com/view/MAYAUL/2018/ENU/?guid=__cpp_ref_anim_export_util_2anim_file_export_8c...
The solution is a bit too long to go through here. I essentially piggy backed on how they got the frame rate description (i.e. Film, Game, PAL, etc) and put the proper double value in with each description. I still have to say that this seems like a far too complex solution to get such a simple value from a scene. But now I can move forward!
Edit:
Here is the modification I did to the setToLongName functuion
/* static */
void FirstCommand::setToLongName(const MTime::Unit &unit, MString &name, double &frameRate)
//
// Description:
// Sets the string with the long text name of the time unit.
//
{
switch (unit) {
case MTime::kGames:
name.set(kGameTString);
frameRate = 15.0;
break;
case MTime::kFilm:
name.set(kFilmTString);
frameRate = 24.0;
break;
case MTime::kPALFrame:
name.set(kPalTString);
frameRate = 25.0;
break;
case MTime::kNTSCFrame:
name.set(kNtscTString);
frameRate = 30.0;
break;
case MTime::kShowScan:
name.set(kShowTString);
frameRate = 48.0;
break;
case MTime::kPALField:
name.set(kPalFTString);
frameRate = 50.0;
break;
case MTime::kNTSCField:
name.set(kNtscFTString);
frameRate = 60.0;
break;
default:
name.set(kUnknownTimeString);
frameRate = 24.0;
break;
}
}