Great question and thank you for posting it here. My colleagues offer some great insights. My recommendation would be to contact a handful of mortgage groups and get some direct feedback from them. They will take a look at your credit and factor in elements such as you/your parents debt/income ratios and provide you some feedback on what might be doable. It is also a nice step in the home search process to understand what your pre-qualified for and what you would need to bring to the table in terms of equity to help establish a budget for the purchase.
I would be happy to simplify the process of contacting various mortgage providers. Let me know if your interested and thanks again for posting the question.