It has nothing to do with money having no meaning. Heck, I buy my 5.11 gear in bulk at black Friday once a year when they have their 20% off sale and wait for free Hazmat to buy gun powder in bulk at Powder Valley.
However, I do not sweat the small stuff, especially when I have no control over it. Airlines charge for luggage, firearms etc. world over. Now, one can mitigate the luggage charges via CC offers or loyalty programs etc.. Firearm charges, unfortunately not at this moment.
If you are concerned with the small stuff adding up then budget for it like you said. Take it from your tip budget like you have stated (though seems unfair to tip recipients at the Safari), or make your own drinks as you also mentioned, to save for it.
You have months and months to save the $194AUD probably comes down to less than $1 AUD a day. If you took the loose change from your pockets each day and put it in a jar by safari time I am sure you will have the gun fees saved.