You will need to use the methanol (or ethanol to be more safely) to get every organic compounds in the sample.
What is the problem of injecting urea in the gc-ms it could be the analyte?!!
An important thing for any analytical technique: There are some things you do not want to introduce into any particular instrument. Thus, with GC we try to separate our compounds of interest from salts and other compounds that will only foul the inlet and column. We also do not want try to analyze a compound that will be changed in such a way that we will be misled by the results. And we want to avoid damaging or fouling the instrument unnecessarily.
On what might be the analyte: it is best to have some kind of an idea of the nature of the sample before accepting a sample to be run on an instrument.
If someone hands me a unknown sample that happens to be sucrose, I can dissolve it in methanol. I can inject the solution into a GC. I will probably see peaks. None of them will be sucrose, but rather decomposition products. By blindly putting a sample into the wrong instrument, I will not give the correct answer. Not what I want to do...