Is it possible to publish under a pseudonym in scholarly journals? If so, I'd publish under my maiden name, with the intention of legally changing it once I have enough money to do so.
I don't know how happy people would be about a pseudonym, but I do know that no one has ever required me to provide proof that the name on the manuscript is legally my name. I send them a manuscript with the name I want on it from an email address that may or may not match that name and the thing goes through review. At no point does anyone say, "Prove that you are Polly Mer and that you are affiliated with XYZ university instead of PDQ institution as was originally listed".
(What holds me back from changing my name is the cost and timing; aside from the court costs I would also have to change my name on my naturalization papers and passport. The entire process will probably cost me $1000. As a student that's just not within my budget at the moment.)
I am not an expert in the area of name changes, but when I changed my name, the entire process was roughly $50 and a lot of writing to government agencies with no court involved at all. You may want to go get more information since $1000 seems very pricey to me, even with a passport change, if you are in the United States and your divorce is final.