Now that we have a dedicated abstraction for string tables, switch the
option parser library's string table over to it rather than using a raw
`const char*`. Also try to use the `StringTable::Offset` type rather
than a raw `unsigned` where we can to avoid accidental increments or
other issues.
This is based on review feedback for the initial switch of options to a
string table. Happy to tweak or adjust if desired here.