Purchase good quality red fabric and test it ( use a white paper towel or piece of muslin, wet it & rub it to see if the red comes off on the white. If it does— prewash it if it passes the test then go ahead. I love red & use a lot of it- in 20 years I’ve only had one run— and my mom used some particular harsh detergent that pretty much took the color out of everything.
i love Kona solids they seem to be very stable ( but there are knock offs that claim to be Kona - but are not, the fake ones bleed like crazy)