I'm sorry about your visa situation. However, some positives are that you have both the financial means and are healthy enough to fly over for extended visits.
My Mother is in her late 70's, with poor health and very little money. My parents divorced 40+ years ago and I am an only child.
She does not qualify for the visa either.
We help out financially when we are able to. Her health issues means that she is unable to fly over-when we moved to England 8 years ago we used to pay for her flight to come visit us.
Sadly we can't make our money stretch to afford yearly or even every other year visits to see her. Airfare, hotels, and car rentals add up quickly. We were very lucky in that my daughters and I went to see her over the summer. It had been 5 years since our list visit.
I phone her at least once a week-she doesn't have a computer so we are unable to video link.
All the best to you and yours.