Brigantine is my new solo ship too, I'm loving it!
It's the fastest ship with broadside winds. So fast it can outrun megalodon's charge #truestory ...been there done that.
And if you're only looking to run from anything or anyone do just that - angle the sails fully to the side and catch the boardside wind and you'll be flying.
To outmaneuver others, as suggested above, make use of rocks/islands.
Also, watch closely how the wind is shifting all the time, sometimes it's turning clock wise, other times counter-clock wise, and occasionally it flips on you... observing and understanding the wind's behavior will help you steer clear from getting yourself cornered on the map.
The only crew capable of catching you in solo brigantine is a full crew on another brigantine... if they work together, that is.