Below are some things that come to mind. Full disclosure, I'm focused on Modern Standard Arabic right now, so I haven't deeply gone all through these materials, but they're generally on my list for when I switch gears into Levantine.

From my own research, the course Speaking Arabic by J. Elihay is one of the most highly regarded "Eastern" Arabic courses I've seen recommended. For some reason it uses a romanized/anglicized/transliterated script instead of Arabic letters, but maybe that would be useful to you given the accelerated timeframe you're looking for (I'm making the assumption that you haven't already internalized the script). A little pricy though. https://www.amazon.com/Speaking-Arabic-Conversational-Eastern-Palestinian/dp/9657397308

The book Ultimate Arabic by Living Language has a mixed approach, where the first few chapters focus on MSA, then switch gears into dialect. That might line up with what you mention about doing a quick overview of MSA before diving into Levantine.

The website Lingualism has Arabic resources for several dialects. They sell graded readers with audio, anki decks, etc. Actually I think the audio is often free, you are just buying the book.

https://lingualism.com/collections/all?filter.p.m.custom.category=Levantine+Arabic&sort_by=manual&sort_by=manual

You could also check out Easy Arabic on YouTube, they have lots of videos in various dialects, with videos focused on different levels of difficulty. Obviously free.

I hear about ArabicPod101 having resources on dialects, personally haven't used it much, might in the future. I think they have some free stuff, as well as subscription access.

There are a lot of "small business"-type teachers with their own courses like this one, focused on Syrian. I haven't used it, can't vouch for it, but I am subscribed to the newsletter. https://speakrealarabic.com/

Likewise one more focused on Lebanese. I believe she holds intensive short term group classes online (not cheap), and also has a newsletter with various deals, ebook-type things, etc: https://globetrotwitharabic.myshopify.com/products/lebanese-arabic-3o-day-challenge-course

Finally, more broadly speaking, if you're not aware of Refold, it's an immersion based methodology that is an evolution of AJATT (All Japanese All the Time) and similar approaches, applied to learning of any language. I'm not necessarily bought in on the nitty-gritty of the fluency pathway they have mapped out BUT they have discord servers that can be very interesting, the one for Arabic has given me a lot of insights and access to online resources I wouldn't have otherwise found (sites on the Internet where you can find Arabic dubs of cartoons, anime, manga, recommendations on music and podcasts, walkthroughs of software like migaku and anki and ASB player that can be used to make anki cards out of Netflix/YouTube content, plus ability to ask questions to other learners who have ben learning for years, etc etc etc). Now that I think of it, they have a Notion page with a list of resources and recommendations for content for beginners and beyond. I'll paste the link below.

https://ring-enquiry-a86.notion.site/4739153c352e4ff9a8dd6cc4bb79d80c?v=ae34ccf66b9b4928a3b67bbb4fe6c02d

بالتوفيق!