I photograph wild tigers frequently and here is what i do:
1. Turn off subject detection as it simply doesn’t work on tigers, unless you are taking a tight portrait of the face or a close-up head-on shot
2. Although I have 4-5 AF modes configured to different buttons, my most used AF mode is Wide-S. I have configured Wide-S (AF-On+AF Area) to the lens fn button and the reason is - The lens fn button is placed in a way that my left hand thumb or middle finger can reach easily at my natural holding position of the tele lens. This way, I can use my right thumb to freely move the joy stick and move the Wide-S box anywhere in the screen, very handy even when the subject is on the move
As to depth of field, it’s really tricky unless the tigers are too close to each other, stopping down isn’t of much use. You can either focus on multiple tigers and take separate shots and stack in post or change the shooting angle, instead of eye level, shoot at an angle to keep multiple animals sharp. Problem with the latter approach is you will not have a pleasing foreground to background transition. If you are able to move your safari vehicle freely, which is quite rare in tiger parks, you can also consider moving a little away to get more depth naturally and consider environmental shots. With higher MP bodies, you can also crop in a bit to get tighter frames with multiple animals in focus.