When I'm playing Fossil and Archeology in 1.7.10 i need to install LLibrary. We have a bad Internet in India and so I don't want to update any mod. When I install LLibrary, it freezes at preInitailization phase on minecraft loading. I Guess it was the bad Internet that make the game freeze. I tried turn off anything in config of LLibrary, but the game still freezes.

Will there be a method that make Fossil and Archeology runing and the game not freezing, WITHOUT INTERNET?

Unfortunately since the 1.7.10 versions will not be getting any updates this will not be fixed on that, although F/A will be updated to 1.10.2 at some point.

hey, what if I can update 1.7.10 by myself? I really need to make my modpack running? I could change some code in branch 1.7.10.

Sure - if you'd like to.