The image you supply would be scanned as a monochrome .tif file and profiled according to the media selected; the choices are quite large and you'd ideally be talking about the result you want with the printing tech. Baryta paper (e.g. Ilford's Galerie gold fibre baryta media in pearl, matt or gloss) gives a very darkroom print-like appearance (either to colour or B&W). There are many more types of media available to giclée output than Pegasus/Lambda (laser exposure) printers; giclée also has a considerably wider gamut than traditional RA4 printers, which are considered today as dinosaurs at the end of their operating life (no spare parts are available).
Ideally once your job is prepped, get tiny A5 proof prints done on various media and 'sit on these' in thought for a few days to make informed and confident judgement on preference.
When I was involved in printing Ilfochrome Classic prints (traditional darkroom practice), a lot of fine art minimalist-oeuvre works were printed to standard IC media in B&W. The result was quite stark and beautiful at the same time — bold, brassy and richly toned — almost a shock to uncover the raw print from its wrapping, as one would expect from the result of printing this way.