Although this is my first post, I think I might have a suggestion or two about this, cause' it happened just the same when I first tried Adventure Mode.
Take into account world generation parameters, like natural savagery and number of civilizations and sites; I don't know exactly if these two might relate with how "tame" the surroundings of sites are, haven't tested yet, but if natural savagery is low then you might have a hard time trying to find something to spar and kick indefinitely. So, to fold this point, make sure that your Dwarf Fortress world is also suitable for adventures.
Also,
Try sneaking ("S"). If you don't sneak animals will run away from you. You might outrun them eventually, when your stats go up, but sneaking is essential here.
Becoming a legendary ambusher is quite easy if you refrain from fast travel, this way you can spot wildlife easier (but if you have
companions vicious poachers at your side, creatures run away all the same). As a bonus, it's a wonderful skill that might save your fat more than a couple of times.
But fret not. If you're having trouble with food scarcity, and the nearbiest town is "far to the southeast" or something like that, try searching for free items inside hamlet houses. You'll likely find bags filled to the brim with berries and reeds, and townsfolk's cabinets usually contain leather equipment, which is quite better that being equipped with yarn clothing.
In any case, a serious lack of food resources could be a challenge, and a nice one while we're at it, so you better get again your dog leather backpack, ask for some troublesome ringleaders or bloodsucking cheesemakers and prepare for some FUN, Adventure mode has loads of it.
[Sorry for my broken english]