In that case you may be suprised to hear that lithographic CMYK print is generally at only 300 DPI,...the artwork may be scanned & worked-up at 400-600 DPI, but that's simply to prevent introducing artifacts.
Dye sub, as I understand it IS a very slow method of printing, but as I said it's more for it's ability to 'approximate' actual litho print than it's speed or cost that it's used.
If it's for 'general' use & 'almost' colour-correct proofs, then a 600 DPI colour laser would do the job, but unless it's in for quite heavy use it may be overkill.
Ask for samples of prints from the machines you're interested in, then ask the supplier for a print using something like the workflow you intend to use with it, on an image you're familiar with,...even a 'test-card' that'll show up any weaknesses in colour or tonal reproduction.