OK, an update in case anybody cares (or not, since I'm posting this anyway). Decided, if that's the word, to combine building a mini music-player computer with a bit of extra online storage. So I'm going to build a tiddly little PC with a couple of large capacity HDDs inside. Having looked at loads of ready-made ones and decided they don't quite do what they want for one reason or another have ordered one of
these from ebay.
Interesting though to consider a project where there's a range of enthusiasts doing different things with tiny PCs but the various manufacturers don't have much interest in it. It was amazingly hard to source a mini-stx mobo*, and they cost stupid money new. And they often come without power bricks which is fine except that it's not always clear where to get a suitable one and guess what - they cost stupid money too. Those do seem to be the rules-of-thumb: lack of info, scarcity of supply and stupid money.
*and I wanted one that had support for SATA HDD/SSD as well as as M.2. When I say stupid money, that includes postage and tax since they're almost unheard of in the UK.