This new SBC might be the cheapest way (without keyboard, mouse & monitor) to run Blender. https://www.cnx-software.com/2019/09/11/rock-pi-x-low-cost-intel-sbc/
Anybody willing to try how it goes?
It’s a full Intel computer with integrated GPU that has OpenGL 4.3 support.
There’s also this https://www.hardkernel.com/shop/odroid-h2/ that’s more powerful, but also more expensive.