"consider rewriting" is correct and usable in written English.
It can be used when suggesting that a piece of writing be revised. For example, "I'm not sure your essay is clear enough; consider rewriting the introduction paragraph."
Still, he added, he would never consider rewriting his work.
In a referendum, voters chose not to hold a convention to consider rewriting the state's Constitution.
The future of such EU rules is under question in the UK, as ministers consider rewriting current regulations to follow Britain's exit from the bloc, and the NFU has called for farmers to be allowed to use neonicotinoids again.
Too busy showing how Faulkner rewrote his own life to consider rewriting his own of Faulkner, Karl has produced a book of shameless ugliness, a prodigy of slack writing.
Osborne hinted that he might consider rewriting the Bank of England's job description, forcing it to focus on kick-starting growth, after the idea was mooted by governor-to-be Mark Carney.
If there is a requirement for which it is difficult to decide which is its main concern, the software engineer may consider rewriting this requirement.
Then I considered rewriting the book altogether.
The commission is considering rewriting its rules with varying levels of thoroughness.
Officials are considering rewriting city ordinances that limit modern architectural styles in certain districts.
Mr. Terry is considering rewriting his programs to fit within those guidelines.
Democrats are considering rewriting Senate rules so Republicans cannot require a supermajority of 60 votes for judicial or cabinet-level nominees, or both.
