This is the book I used, and it is excellent: https://www.amazon.ca/Robinsons-Paradigms-Exercises-Syriac-Grammar-dp-019968717X/dp/019968717X/ref=dp\_ob\_image\_bk
I don't speak it, but I can read it, with the help of a dictionary. I learned it recently, the way one learns a classical language, so I can read it if I want to translate Syriac prayers or hymns, but I'm not fluent the way a native Assyrian would be.
I learned through this book, with the help of a Maronite priest who answered my questions: https://www.amazon.com/Robinsons-Paradigms-Exercises-Syriac-Grammar/dp/019968717X#:~:text=T.%20H.%20Robinson's%20Paradigms%20and%20exercises,need%20for%20generations%20of%20students.
I hope you enjoy Lebanon! It's a bit cold in the winter. Are you Lebanese? If not, here are some tips:
1- Try to visit Qadisha Valley. Granted, it's not Orthodox, but it's the Maronite equivalent of Mount Athos, only older (but less intellectually influential).
2- Our Lady of Harissa is very popular, and the view from up there is splendid, but the Melkite cathedral nearby is often overlooked. It's one of the most beautiful churches I've ever visited.
3- Our Lady of Mayfouq is a very important monastery in Maronite history. I've never had the chance to visit it, but it's probably worth the detour. It's not far from Annaya, where you will find the very popular monastery of St. Maroun, where St. Charbel lived and now reposes in the Lord.
4- On a more historic note, try to visit Byblos and Baalbeck.
5- Do not miss the little forest of the Cedars of God and the Jeita Grotto, if they are open in the winter.
I don't know much when it comes to Orthodox pilgrimage sites in Lebanon. If you know any, I'm always open to visit new religious sites!
Traditional Way
Robinson's Paradigms and Exercises in Syriac Grammar https://www.amazon.com/dp/019968717X/ref=cm_sw_r_cp_api_glt_fabc_R7XWFMEQF4TYP918KKB6
Modern Way
Basics of Classical Syriac: Complete Grammar, Workbook, and Lexicon https://www.amazon.com/dp/0310527864/ref=cm_sw_r_cp_api_glt_fabc_41ZVNWK46R60GM7XFEMP
As far as I know the only form of Western Syriac/Aramaic that is still spoken is Western Neo-Aramaic, which is only used in 3 villages in Syria. When you said West Syriac/Suryoyo my first thought was Classical Syriac. You mentioned that that isn't exactly what you're looking for, but it may be all you can do, seeing as the modern Western dialect is nearly dead.
If you are interested in learning Classical West Syriac, the best resource is Robinson's Paradigms and Exercises in Syriac Grammar by J.F. Coakley. Robinson published the first edition in 1915, and Coakley has since edited and republished it several times. It focuses entirely on the written language, but is easy to follow and has lots of exercises (though no answer key).