One way to reduce the midi conversion delay is to use a nashville string set,
but you lose standard tuning and the converter needs to be able to respond
to the higher pitches (don't know if they all do, but some do at least).
An even more drastic approach is to use all high E strings. The tuning back
to standard guitar pitch is done in the sound module.

I had a Roland VG88 and VG99 for a while for some fooling around with guitar.
These are not midi sound devices, although the VG99 did do the conversion to
midi and provided the midi signal output on the back.

So they don't offer any of the typical midi triggered sounds like piano. However,
the sounds they do offer are free of the delays inherent in pitch to midi conversion.
If you have a use for custom guitar sounds and certain synth sounds, these play
very much like normal guitar notes. Bends and slides for example work without
triggering problems. It's like the notes are passed straight through except with a
different timbre.
But they are expensive.

I also spend way too much time changing settings and reading manuals,
at least for my non-bass playing music. With bass at least it's just
the upright, or electric bass, cable, bass amp.