Knowing who the outfitter is, knowing they list the $180/day per hunter in their contract as a special “reduced rate” and it’s not an oversight or mistake. That they offer reductions on using their taxidermy, and “discounts” on printed trophy fees, etc my advice would be to forego the extra day and take advantage of the extra day to do a little sightseeing.
Afton House is a great place to relax. They can secure your firearms for you while you sightsee. Have Elize coordinate a driver, you can do one one the tours (mines, lions, parks, etc), go visit a few restaurants, a good cigar shop, Safari Outdoors, etc.
Enjoy your hunt with your family and friends, make the most of it and your first trip to Africa but don’t let this dissuade you or taint Africa for you. You’re going to have the time of your life.