The Zimbabwean way is to pay cash-cash for a deposit, or wire it to a US or foreign bank, that books your hunt.
The trophy fees are frequently paid via wire after the hunt, other times cash in hand at the hunt.
This odd scenario is due to tax avoidance. You can't beat the central bank of Zimbabwe, they want their money, they won't release the trophies or approve the TR2 without it. Hence, that portion of the payment is usually quite formal and obvious. That's the money that Zim knows was paid for a safari, everything else is subjective and self-reported by the operator.
All the other portions (daily rates) of the payment are as under the radar as possible because the operators don't want to get taxed to death on it. It's also why daily rates are either in cash whether at a convention or wired to a US bank or a Botswana bank. It's all to keep it out of the clutches of the Zim government.