You can't mix and match names and strings like that. You've correctly realised that you can't have a space in a name, so you can't have:
/Lydian Regular findfont
You are correct that it needs to be handled as a string (Lydian Regular) but you can't just stick a '/' in front, that doesn't make the string into a name. To make the string into a name you need to use the cvn operator:
(Lydian Regular) cvn findfont
However, the 'key' passed to findfont need not actually be a name, it's permissible for it to be any type, if it was previously associated with a font by use of definefont. It is probable that Distiller is seeing your code as the following tokens:
/
(Lydian Regular)
findfont
So that's an empty name on the stack, then a string, then findfont. Findfont will then look for a font defined with a string. I'm guessing that won't work no matter what.
So I would start by using the cvn operator.
But note that this still may not work, because the font may not be called 'Lydian Regular' (in PostScript). Note that the name on disk doesn't necessarily bear any relation to the font name, as defined internally in the font.
Also PostScript cannot use TrueType fonts directly, they have to be formatted as type 42 fonts. A number of PostScript interpreters (eg Ghostscript) can use TrueType fonts from disk as if they were Type42 fonts, but this involves a degree of guesswork. I've no idea if Adobe Distiller can do this or not.