snuffle

v. i. [ imp. & p. p. Snuffled p. pr. & vb. n. Snuffling ] [ Freq. of snuff, v.i.; akin to LG. snuffeln, G. schnüffeln, D. snuffeln, Dan. snövle. Cf. Sniffle. ] To speak through the nose; to breathe through the nose when it is obstructed, so as to make a broken sound. [ 1913 Webster ]

One clad in purple
Eats, and recites some lamentable rhyme . . .
Snuffling at nose, and croaking in his throat. Dryden. [ 1913 Webster ]