For nice looking global view you may want to use a hex grid overlay and maybe some clouds. So lets make em!

For making your own hex grid I will use GIMP:

Open Gimp and make a plain (filled white) new image with the same size as your world map

File->New->change width/height ->"+advanced options"->Filled With(White)->Press OK

To create grid

Filters->Distorts->Mosaic->Tiling primitives(Hexagons). Next uncheck all the boxes on the right. and select the following settings:

Tile size - as you wish

Tile height - 1.0

Tile spacing - 1.0

Tile neatness - 1.0

Light direction ~ 150-160 (seems to give the least shadowing)

Color variation - 0

Next we need to delete the white background

I just used this instruction.

Save in PNG format to preserve transparency.

Now you have a grid! I would create a separate image with the grid and the map combined for future reference (if you would like to select the region and redraw it in better detail, if your grid will be constantly "floating" it will be problematic). For that just open the map with Gimp and drag the Hex Grid image into the Layers window on the right. Merge them and Save (If you have troubles with this - google how to merge two images).

For the next detail I would like to have some clouds, so lets just search for a nice image with transparent background. I like this one.

Now we should have the bells and whistles.