To be safe, budget an hour or two from deplaning and you’ll be fine. If you’re working with Africa Sky or Afton they’ll have people there to assist you, especially if you’re going back to the guest house before meeting your outfitter.
I’ve done it myself a few times and done the meet & greet a few times. Longest time I had was meet & greet in early 2021, which took almost 2 hours from deplaning and we didn’t get the usual treatment of going through the diplomat line. Not sure if Covid or something impacted that.
Shortest time I had was in 2022 doing gun paperwork and no meet and greet all on my own. I was through in 15-20 minutes of deplaning passing people in SAP who did the meet & greet including several people who were on an earlier flight experiencing issues. I was genuinely shocked and had actually planned to be there longer which meant I had to wait a bit before leaving the airport in my transportation. The other trips were all +/- an hour from deplaning, including one where there was an error on their end of the paperwork pre-approval.
Another thing I will say is all of the plane arrival times and airlines have been different, as well as the date. July is peak time so your wait might be a little longer compared to early or late season.