"dash across" is a correct and usable expression in written English.
It is used to describe quickly crossing or running across a space. For example: "The small dog dashed across the street to get to the park."
TROOPS DASH ACROSS THE DESERT -- The Third Infantry Division advances 100 miles into Iraq.
That was it – although thing quickly became things in an entrepreneurial dash across diverse business sectors.
There was too much daylight for me to turn around and dash across New York Avenue.
We watched the plover dash across the sand in short spurts, hunting for insects and worms.
Again Kohli finds Hogg in the field and the batsmen dash across for one.
And the minute we'd parked the car, I'd dash across the sand.
You'll dash across Europe by sports car, speedboat and helicopter and "rescue" hostages.
A few moments later, Mr. Lineaux rose a second time, then made a quick, silent dash across the courtroom.
Pellegrini, riled by Mourinho's dash across his box, hardly offered a vote of confidence in his later mumbled assessment.
The alliance's dash across Afghanistan in recent days was made possible as much by Taliban defections as battlefield prowess.
"I started to run for it, stopped, then made this mad dash across several lanes of traffic," she said.
