It will cost you less to do your taxidermy work here and get it shipped to the states and the risk is higher of losing trophies or skins when 'dipping and shipping'.
I would certainly agree that there are now more options than ever for quality taxidermy and reputable trophy preparations in Africa these days. There is certainly nothing wrong with having your trophies fully mounted as finished taxidermy in Africa provided that you find a reputable, well-established taxidermist as mentioned.
From the perspective of a foreign hunter, I would add that there is a legitimate concern over having finished taxidermy done in Africa. The client really has no practical recourse if there is a significant problem once the crate arrives home. The costs and logistics will make it both impractical and inconvenient to ship the finished work back if there is any kind of problem. That is why the process of selecting a quality, reputable company to do the work is so important in avoiding problems and disappointment down the road. I also recommend to any safari client considering having finished taxidermy work done in Africa to try and create an opportunity to visit the facility and view the work at some point during the safari before you leave Africa if at all possible..
As far as any "higher risk" associated with losing trophy parts that have been dip & packed versus finished taxidermy, I have to disagree. In closely working with hundreds of safari clients over the last 16 years, I have never found this to be the case... As it goes with the same vetting process one would use in selecting their outfitter, it comes down to researching and selecting a quality dip & pack facility. Almost every African taxidermist also offers dip & packing, and every dip & pack facility does finished taxidermy, or at least works with a taxidermist that they can recommend. Find a reputable company, check reviews & references, and you should have no problems regardless of the level of work you are having done with your trophies.
Trophy care, taxidermy, and the preparation of your trophy parts after the safari is in my opinion, the most overlooked aspect in planning a safari. Many safari clients take this part for granted and then become unpleasantly surprised when they are confronted with unexpected issues long after their trophies are in the salt.
I strongly recommend to my clients that they consider their trophy prep options before the hunt, and research the trophy after-care process as much as they would when selecting the outfitter himself. You can start the vetting process with your outfitter and who they recommend... Every outfitter will have a dip & pack facility and/or taxidermists that they will recommend. In most circumstances, the outfitter's recommendation may indeed be your best option. However, it is important to realize that you, as a client, have the option to use any taxidermist or dip & pack facility of your own choosing. You are not obligated to use the one recommended to you by your outfitter. And, any reputable outfitter will make arrangements to work with any taxidermist or dip & pack facility of your choosing provided that the logistics allow for it.