In order just to experience Tanzania safari: what is the most economic hunt to look for? What species?
If you want the Maasailand pg like gerenuk and lesser kudu you will have to get the 21 day license. If you hunt for a shorter period of time like ten days you still might be able to get this for $50k or less. This will include Thompson, Grants, WB Wildebeest, C Hartebeest and FE Oryx, subject to availability in the concession. The problem is most concessions won't have all those animals and you may not get a couple of the animals.
If you do a 16 day license over 10 days in Maasailand, you can get many of the above pg subject to availability in the concession. You might still get this hunt for $35k, possibly 30k.
You need to make sure the species that are available in a Maasailand concession prior to the hunt and not assume that all concessions have all species.
Three years ago at DSC I saw a good operator with a 16 day license and a 12 day hunt that included trophy fees for buffalo and leopard (leopard require a 16 day license) for $28k. Trophy fees on pg was additional. That's a really good price most anywhere.
You get 4 buffalo on a 21 day license. There are hunters that will do this and hunt for 10-12 days primarily to hunt buffalo. Ask the outfitters to price out a hunt like this. When you start dividing a hunt by 4 buffalo the price per animal may be cheaper in Tanzania than most other countries.
Shop around. Tanzania has prices all over the board. I have been aware of 21 day hunts full board all in including trophy fees on joining concessions that were both great. One hunt was apx. 250k. The other was apx. 125k. Much of this has to do with marketing and how well known an outfitters name was.
I have also seen two outfitters that jointly control a concession be 80% different in price for the same hunt on the same concession.
Hope this helps a bit. Shop around. You are asking the right questions.