The phrase "elevate beyond" is correct and usable in written English.
You could use it to describe a situation where something is taken to a higher or better level. For example, "He was able to elevate beyond his expectations and secure the job."
Each is first elevated beyond its natural state.
Too bad Jack Kirby isn't alive to see his 1960's comic-book panels elevated beyond pop nostalgia to art.
Scherzinger's set suggests she is a club-level performer who has been elevated beyond her capabilities.
Except for 1 ELISA value in 1 patient, D-dimer levels were elevated beyond 500[mu ]g/L at 2 weeks.
Liverpool, however, are also interested and the price could be elevated beyond Spurs' reach, although Brendan Rodgers likes the look of Porto's Jackson Martínez.
Once an issue like Jerusalem is elevated beyond the reach of compromise, the most extreme and immoral actions become not only possible but "holy" to a disaffected minority.
Results for both sites indicate that both sites displayed high salinity and alkalinity, with levels elevated beyond those suggested before those reported to cause negative tree effects.
Many New Labour favourites, after all, were elevated beyond their station in 1997 solely because they were young enough not to seem tarnished with the trauma of Labour's past.
Climate change 'should be elevated beyond a scientific debate to a US national security concern', say the authors, Peter Schwartz, CIA consultant and former head of planning at Royal Dutch/Shell Group, and Doug Randall of the California-based Global Business Network.
It is hardly Oudin's fault that in the rush to diminish the Williams sisters her achievement has been elevated beyond its true status, but it doesn't diminish the ugliness of the sentiment.
