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Thank you for the comments and the walkthrough description.
Based on my experience with similar maps where enemies come from everywhere, these are usually designed for VERY fast progress and killing the enemy right in the first encounter. That is, you follow the route and immediately kill everything you come across. Essentially, it's a sprint-like walkthrough. If you get delayed somewhere and don't meet the timing, you're doomed because heroes with stats and armies appear that you can no longer defeat.
With this type of walkthrough, the computer is also distracted by various resources, gold, freebies, and it fights neutrals, while we can bypass where necessary. As soon as the locations become empty, the enemies have nothing left to do but attack our heroes, and there is nowhere to run.
For this map with timings, it is advisable to use Prospector and immediately create a map-route of movement in columns (where each hero should go), and proceed from that. Also, write down on a piece of paper who should go where for treasures in huts (Dragon for the town portal, etc.). With such a plan for the map, I think it can be completed and you can succeed everywhere. I am almost certain that the author tested it and planned a blitzkrieg across the locations.
Often, a specific set of troops is used for fast progress (for example, only Archdevils with Force Field against ANY superior forces, the main thing is to have enough mana, and if possible, take mages to reduce the casting cost).
On your map, I think you can take the town portal - and that's almost a victory. Also, as far as I can see, there is one or two islands where you can fortify and isolate yourself from enemies (although some know how to walk on water).
In general, the map is intriguing and inviting! But personally, I am more afraid of the TIME in real life that will be spent on completing it :)
What month/week are you in, and how many castles are there? And how much time in real life have you spent on this map? :)
But here's the problem. Yes, you're right, you need to move quickly.
But here's the catch. No one has Force Field. This is a problem. Because it helps a lot in fighting a numerically superior enemy.
I decided to try to gather a lot of Archangels, run through the map, checking the caches with Pandora's Boxes. What spells are there (they are not displayed in the editor).
It's hard to pacify the enemies. What's the problem? The problem is the VERY high level of magic power; everyone has either Explosion or Chain Lightning. There are many heroes with dragons and other anti-magic troops. That is, the situation where you slowly blind everyone and cut them up piece by piece... it only worked with the Barbarian.
High attack and many archers, immune to Blind or Forgetfulness (Titans, Undead)