Eazy, I spent some time looking over Bruhaha trying to put my finger on some specific suggestions to make extractions a touch easier. You've probably thought all of this through - the map is nothing of not meticulously designed - but here's what I came up with.
Starting with the shortest route to get the flag out of the base:
Getting the flag down the ramp and all the way around the corner is a challenge because of the distance. I saw a few flag grabs end as people got to the bottom of the ramp but not around the corner. My suggestion is to replace the double wall at the bottom of the ramp with a single wall, shortening the trip around the corner a bit. In every one-sided map I can think of, the trick has been to get a touch on the flag, and after than it moves quickly out into the open. The stretch here makes that harder.
Just outside the exit:
The approach to the base has a side with cover leading up to the base, and one without. This side doesn't get used as much because of the long line of sight - there's no cover at the top, a long ramp down and a medium space between the ramp and the base; no way to sneak in on that side. It might be worth moving the active camo over there, so provide a sneaky way in given the openness, and add a cover element at the top (a fin?) at least.
There are two tools that can aid with base infiltration that are on the defensive side of the map, rather than the offensive; the active camo and grav lift.
The grav lift and active camo can both really change how the base is accessed, but since the defenders have first dibs, they don't get used as much. I think they should be pulled back to be squarely in the attacker's camp, much like the grav lift and overshield on High Ground. I think that would really shake up the assault runs.
Last observation: there are two good "flag away" spawn shelters for the defense, one on each side of the base, but they're not being used as such:
These locations are good sites for clusters of 4-6 spawns, which would increase their use when defenders are killed inside the base. They would serve a bit like the nooks off to the side of the base on Valhalla. I ran into this when I made Entrenched: the spawns were originally similar to these, more spread out across the sides and front of the flag location. I noticed defenders were able to engage with the flag carrier almost immediately after spawning, so I tucked clusters of spawn points a bit further from the base, and a few more just around the corners of the edges, similar to these locations. That one change had a pretty huge impact on flag extractions.
I noticed you're at zero budget left (glad I'm not the only one who finds himself using every single dollar) so any tweaks may be tough. The spawns and camo/lift tweaks might be enough to do it on their own.