Talk to your GC. if you were a regular school no chance. But you said competitive private and I’m sure they track acceptances.
If you were a regular public school I’d look at places like Col School of Mines, Big 10 publics outside Michigan and Purdue and an Arizona/Arizona State. Like a CWRU and Rochester a low reach due to ACT. AN RPI or Rose Hulman would be a highly likely.
However you go to a competitive private school so that changes everything.
Talk to them about how kids with your stats do.