I am also taking a 10 year old this year out for the first time archery hunting.
His setup: 45#@30" Kaya Korean Traditional Bow 48"
Arrows are wood and about 450 grains with broadhead.
If he would be shooting pure western style, he would probably have only around 20" of draw.
But I have him shoot a hybrid Korean-Western style and he anchors on his ear. That increases his draw length around 2.5-3" and he pulls around 33# at his draw length.
His shots will be from a groundblind and limited to 10-12 yards.
He shoots over the knuckle and is the current IBO World Champion in the CUB class. Out to 15 yards he is absolutely deadly on deer size game.
Why did I choose this bow for him?
I am only having a 25-25.5" draw length myself and this bow is 12 fps faster than some high priced custom hybrids I have. It is superlight, very compact and without silencers super quiet. It can accomodate a draw up to 32", so it will grow with him for years to come. At $270 TYD brandnew it is a steal for the performance you will get.
But: You say he wants to hunt this year. The problem is, he will not be ready for this season if he starts out shooting now. It requires at least 3-4 month of correct training to have an adult proficient with traditional equipment. It usually takes much longer with young kids. My protege is shooting for over three years now and up to now he uses his .50 percussion muzzleloader rifle for the last 2 seasons. He graduated to flintlock this year, but the main focus this year will be the bow.
Now, on the other traditional sites (tradt..k or stickb..w) there is a korean bow for sale with 35# for $160. This would be an ideal starting bow and if he trains correctly and hard he will be ready for the 45#@30" next year. If you require good kids shafts, I still have a dozen surewoods matched in 25# spine and weight within 10 grains I would sell you. They will be correct in weight and will teach the correct trajectory for heavier arrows from the start. It is also important to teach kids the skills like straightening wood shafts and building arrows correctly. This is as important as shooting. Knowledge is power and can keep the hobby appealing during the winter month etc.