It sounds like that hardware may be below our minimum system requirements for the CPU. You may be able to get tracking working but you may run into some performance issues. Unfortunately, we don't have any recommendations for any small form computers. Some other community members may have some success stories with their setups that they can share. For best performance, we recommend a powerful processor and a dedicated video card that can render any graphically intensive applications without issues. Many integrated video cards perform poorly with some apps.
I'd recommend taking a look at our minimum system requirements and comparing them with the hardware you're looking at.