Latex would work, but it's rough enough to mar the faces of the coin. It will keep finger oils from contacting the coin, which is important. Once settled on a coin, fingerprints literally cannot be removed. They're pretty much permanent, unless you use something which will ruin the coin itself.
Your aim here is to allow nothing to touch the faces of the coin, not your finger, not the case, nothing. Use a nice, worn old solid-color t-shirt for your photographic background, but still be careful not to drag the coin across it.
This is important for any coin, even worn ones - the hairline scratches created by poor handling skills aren't always visible in normal light, but will show up in the sun or under photographic lighting. Such scratches make a coin unpalatable to a picky collector, even in the circulated grades.