I had thought one of the points of Type C was not needing OTG adapters; are you referring to something else here? The OTG adapters I remember were typically micro-B male to A female. Unless you want a split to provide power separately, there shouldn’t be a need to have an adapter other than a DAC+amp Type-C-to-3.5mm dongle.
AptX is a proprietary, lossy codec; it is neither FLAC, nor similar to FLAC, a lossless, open format; it is also not similar to CDDA CD audio. The FP4 does nominally have support for aptX, aptX HD, and aptX adaptive, but software support has been regressed recently, and it may not work for many users, even after the update that attempted to fix it, but fixed only aptX HD.
Another, flexible option, for people who like wired headphones, is that the FiiO bluetooth amplifiers will also work as USB audio interfaces, so using them, you can switch between wireless and wired use.