I assume you are talking specifically about getting a Scholarship rather than filing for the general Fin Aid.
In that case you will be applying in R2 for the top 30 and R3 for Top 10.
The scholarship funds are usually available through R2 and you should be OK, assuming you qualify for the scholarship (that depends on the individual school policy and how valuable/needy they see you). I don't think you are disadvantaged in any way at this point except you will most likely have weaker essays than if you have been planning this for a little while longer (this is an assumption and could be incorrect).
Founder of GMAT Club
Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator
Need GMAT Book Recommendations? Best GMAT Books
Co-author of the GMAT Club tests
Have a blog? Feature it on GMAT Club!
Get the best GMAT Prep Resources with GMAT Club Premium Membership