Tactile dice don't seem too difficult a thing to make: https://www.geeknative.com/53239/braille-dice-d20-style/

Plus, you don't even have to use dice—anything that gives a uniformly random outcome is alright. (E.g. local “Choose your adventure”-clone books had dice sides printed on each page.)

Now, tracking the character sheet and consulting the rules are probably more of a nuisance to the person.

If we are in the same place, either someone else will roll for him or he'll roll and we'll tell him what he got (and he has little choice but to trust us :)). If we aren't in the same place, he rolls virtually (did you know you can type '/roll 1d20' in Google Hangouts and it rolls?) and gets the result via a screen reader.

For a while he was DMing and he would use a screenreader to access his notes plus the rolls. We don't typically use maps or boards, but instead try to do it all with descriptions of places. It does mean that the rooms we enter all tend to be fairly simply shaped, and it's possible that each of us has pictured a slightly different room, but it all works out in the end.