I hated this map for the first 3 times I tried it, then I realized the way to beat it. I don't know if the maker intended it to be beaten this way, but here it is.
Spoiler
Start in the upper left corner and build as much of the fleet as possible. Also build as many omnis as possible. After a certain point, you must get your omnis, HQ, and as many of your fleet ships as possible, to escape along the top of the map to the upper right corner. From here, you can let your Omni's mire land and use your HQ to gradually destroy emitters. Be careful of the time on the spawner! If it does spawn, move your HQ to the upper right corner to stay protected while frozen. Over time, as you destroy emitters and move your omnis to mire each island on the right side, you can gradually move left to destroy all the particles and reclaim the mines.
This was a Sim. map, so there was no "intended" strategy.