You could have the murder weapon be planting peanut oil on something used by someone with an allergy to nuts. (or shellfish) Something like a reed from a clarinet or saxophone, and your blind detective could give the other reeds a taste test.
It would seem that solving a murder through sense of taste would be dangerous to your protagonist, especially if he's checking for poisons. The sense of smell is intimately related to taste - and not as dangerous to your character.
I saw a documentary where a scientist in the mid 1800s had to taste suspected poison, in this case nicotine, to verify what it was. You won't see that on CSI today.
Wish I could remember the show or the case, but it was in England if that prompts anyone's memory.
if the murder involved poison, does the charcter taste the urine feces and blood to solve the crime?
Is he/she an asskisser and bootlicker?
If your character has a stuffedup nose (smell is inperative to taste) they will be as useless as an old queen with a headcold.