I don't have this problem with my 740, which is a similar design, with the rollers and whatnot... the rollers really shouldn't get any ink on them.
Are you using high quality Epson ink? Don't use third party ink, its often very bad.
Use Epson ink which is designed to dry very fast. It seems your problem is the ink isn't drying fast enough and is getting on the rollers.
Are you using third party ink?
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