fgrep beginning of line?

I'd like to use fgrep to handle searching literal words with periods and other meta-characters in grep, but I need to ensure the word is at the beginning of the line.

For example, fgrep 'miss.' will match miss. exactly which is what I want, but also admiss. or co. miss. which I don't want.

I might be able to escape meta-characters, e.g. grep '^miss\.', but the source is so large, I'm bound to miss something, and then need to run it again (will take the whole night). And in some cases, e.g. \1, the escaped code is the one with "meta-meaning".

Any way around this?