Well, first off see if you can get character sheets and quick reference sheets printed out on a braille printer for him. I think the printers themselves are expensive, but if he's blind there should be some way to hook up with a charity or other resource who can help print stuff for him. You may have to do up a simple text-only character sheet rather than a nice sheet with boxes, graphics, etc.
Tracking hit points lost etc. may take some improvising, like maybe paper clips on the edge of the sheet: big = 10 hp, small = 1 hp. As points are lost you move the clips from the "healthy" edge to another edge.
Dice are trickier but you could improvise with braille playing cards to randomize numbers (just take out the jack, queen, and king). Like for a d4 roll he just keeps drawing until he gets a number in the 1-4 range. There are some braille d6 out there as well which might be fun for him so he gets to have some actual dice of his own for the game--would make a nice birthday present.
For the playing "mat" you could try a braille chess board--and use the chess pieces as "figures". Or maybe you can find something at the hardware or craft store to lay flat which will make a grid you can feel; miniatures themselves should be easy to discriminate in a tactile way. Perhaps you can glue craft sticks down onto a board in a grid or something. But then you need something to indicate terrain. Again, the craft store should have bags of cheap stuff you can use for a tactile representation of stuff, like pom-poms for bushes and trees.