As far as I can tell the Analog Discovery you mention is quoted by Digilent at $279 and for this price you get two 100MS/s analog inputs, so that means that you can't sample anything above 50MHz max (and in practice you probably won't be able to do a lot of useful work above ~40Mhz). With modern circuits routinely having signals in the hundreds of MHz that's fairly limiting for me.
And if I just want to probe "slow" digital signals like SPI or I2C I can get 90% of the features of this module by using a cheap-o ~$10 Saleae clone off aliexpress. It's only a digital analyzer but it goes up to 24MHz and with 8 channels you can already do quite a lot of work for a tiny fraction of the price of an entry-level scope.
Of course if you do a lot of analog work then a digital analyzer won't cut it and the ~$300 price tag for a basic scope is almost a required purchase at this point.
This comment dismisses a lot of measurement use cases out of hand, at least as far as a hobbyist or rudimentary manufacturing test case is concerned. An input bandwidth of 50MHz is still more than sufficient to evaluate all kinds of useful circuits - a few I can think of offhand:
* Buck regulator loop compensation and transient response * Large signal audio debug (not suitable for small signal just due to the limits in the analog frontend and the number of bits in the scope ADC) * Basic digital protocol debug
If you're tuning a PLL, or need to evaluate DDR signal integrity, or trying to design an audio system with -120dB of THD+N, then yeah, an Analog Discovery is probably not the right tool. Then again, if you need to do any of those work items, then you probably already know that.
RPi: $35
Battery: $15
Screen: $35
hm.
My big problem with a USB oscilloscope is that they are only ground referenced through the USB ground to your computer and if you measure something with a different ground reference you can blow up the USB port on your computer.
Gauging from the job postings on their website, I have a hunch/dream that the folks at Saleae are cooking a decent USB scope up as their next product offering. Would love it if they did. Saleae's Logic Pro 16 is without a doubt the best designed EE tool I've ever used.