Agree with the drop shadow, doesn't work for this style at all. Using digital elements in hand drawn maps CAN work, but it's finding the right balance. The issue really is that you put the drop shadow on the linework itself instead of the whole items, though personally I think it would look better without the shadows altogether. Your linework isn't necesarily all that bad, just a little too conformed with the width, so it loses the hand drawn feel. Presumably you don't have a stylus/tablet, but (depending on the software you are using) you might be able to alter the brush settings to change the line width to be a little more random so the linework isn't so digital. Alternatively go around your lines with an eraser (or a mask to be more specific so it isn't destructive) and thin the lines out in areas (as I did in the example below). Add a few extra details and the map will really start to work.

Use digital effects sparingly, I used a quick solid colour wash for the mountains and trees, but added a soft marble pattern overlay to the trees to break up the solid colour.

Click image for larger version. 

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All in all, good start.