I considered the same thing at one point where I needed to suggest a bullet-proof way to run some Python code internally at a range of customer sites. A Raspberry Pi plugged into their network isn't a bad fix. The amount of time saved by pushing all configuration issues on to the internal IT department outweighs the hardware cost by a few significant digits.
I'm not sure the sheer cheapness of hardware has really sunk in yet. A lot of problems might be better solved by snail-mailing small computers to people.