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Your scores are not that far off as of now.
Some Lenders would be okay with your present scores. The defaulted student loans is where you run into issues. Once your student loans are rehabbed you become much more approvable.
Your scores most likely will not improve because of the rehabbed status. They will start to become more aged and hurt you less and less over time.
What I would do is spend time on the rebuilding boards since you have some time before you complete the rehabilitation, and look for other ways to increase your credit scores. Ideally you would want to be 640 or higher for your mid score.
The price range you are looking at to purchase is okay at the present time, but may change as rates have been increasing.