You got only $100 USD and you want to have a good branded sneakers / shoes. This problem are the most common question at the sneaker culture. I will give you my opinion about my alternatives for solving this problem.
1.Vans
Vans is the best choice for a budget sneakers. There are many of vans shoes that only cost under $100 USD.
2. Asics
Budget running shoes are the most wanted for a budget sneaker head. Asics is the alternative of budget sneakers. This is a good Japan shoes.
3. Converse
Back to school budget shoes, stylish budget shoes, hype budget shoes is on this brand. There is a lot of history on this shoes. NBA players use to wear this shoes.
Those are the best cheap branded sneakers for the low cost pay in my opinion. Not just low cost, it is the perfect shoes for back to school shoes.