* Submerge: While primarily meaning "to immerse in liquid", it can also be used figuratively to describe being deeply involved in something, potentially suggesting a sense of being overwhelmed or overtaken.
* Engulf: This implies being completely surrounded or absorbed by something, carrying both a sense of "immersion" and a potential for "dodging" if you can escape the engulfing force.
* Dive: This can mean both to plunge into something, suggesting immersion, and to quickly move out of the way, suggesting dodging.
* Evade: While "evade" generally means to avoid or escape, it can also imply a skillful or stealthy movement, suggesting both dodging and potentially a deep understanding of your surroundings, similar to immersion.
Ultimately, the best word will depend on the specific nuance you're trying to convey.