Your parents SAI is $0 but you prefer anything under $50K (for ChemE, hello UDEL). OK - scratch that - I just read $50K total.
But that makes no sense.
Can you clarify?
Your SAI doesn’t mean schools will say - that’s what you can afford.
You might have your parents fill out a net price calculator - to see what you truly qualify for. If it’s everything, then yes to Questbridge.
You should also look at SUNYs that are ABET accredited - given the TAP program, etc. Buffalo, Stony Brook, ESF, City College, and Stony Brook.
Now we know the budget - so your list should consist of SUNY + meet need schools - Ivy schools, Vandy, WUSTL, Johns Hopkins, UVA, Lafayette, Rice, etc.