I want to try two things :
So far
NaRV.omit(x) is my preferred option for question 1. Mnemonic NaRV means "not a regular value".
require(IDPmisc)
m <- matrix(c(1,2,3,NA,5, NaN, 7, 8, 9, Inf, 11, 12, -Inf, 14, 15), 5)
> m
[,1] [,2] [,3]
[1,] 1 NaN 11
[2,] 2 7 12
[3,] 3 8 -Inf
[4,] NA 9 14
[5,] 5 Inf 15
> NaRV.omit(m)
[,1] [,2] [,3]
[1,] 2 7 12
attr(,"na.action")
[1] 1 3 4 5
attr(,"class")
[1] "omit"