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1. Forget your CK score only Fico counts .
2. You are saying your DTI is 50% with your current car note + insurance , then you say that you only have insurance and car note as bills. How is this possible ? You live rent free? What is the minimum on any credit cards ?
3. Your DTI with the new payment is what they will consider and 50% will most likely not be possible.
4. The under the table side money will not count that is the bad part about undocumented income.
Based on the very limited information you provided you will probably be disappointed - I would add some official income for a while and reduce your DTI ratio. DTI is what will hold you back.