I did some measurements and full size definitely won't work for me.
Have a look at the Tangent Ampster BT 2.
And, Pro-Ject have just released their Stereo Box E.
Either might suit you
Though I'd have to persevere with the Fosi - I suspect, like
@nopiano suggested above, that it could be to do with grounding.
It could just be the plug somehow not grounding properly in the Fosi input socket.
If TT works into active speaker line input, no reason it shouldn't work into Fosi line input - without issue.