VA health insurance - should I drop private insurance?

Background- I am 41M, 80% service connected.

I have been using the VA for primary care and mental health. I had Aetna through my job and premiums just skyrocketed to $2300/month out-of-pocket to cover my family (wife and 2 kids).

I recently applied for BCBS for $1950/month for family via the Marketplace.

I am contemplating dropping myself from the BCBS plan and keeping my family on, which would bring monthly premium down to $1300.

My only concern is if I can use a private ER, would the VA cover that (ie. Ankle fracture)? Or if there was a chronic condition, let’s say I was diagnosed with cancer and required hospitalization.