Thanks to all who have posted - I have a number of options to explore. But I just blew the next few months' gear budget on another rifle. I'll stay with the Hy-Wydes a little longer... they've done fine for many years and I'll just be mindful when shooting close-up steel.
To JKFlyFish, who asked if quality eyewear really makes a difference: three ways to look at it.
First and foremost, how much is your eyesight worth? Much of my competitive shooting "career" was spent at skeet, where being struck by pieces of broken target from adjacent fields is not uncommon. I now do a lot of action-pistol matches which have steel targets, and I want GOOD lenses between my eyes and backspatter. With gas guns, I want good lenses between me and hot powder/gasses at the ejection port.
Second, comfort. Ill-fitting frames may not stay put or may cause headache or blistered ears, especially with muffs. Maybe not an issue for short range sessions, but running junk glasses for an all-day match or multi-day matches can be decidedly uncomfortable. Cheap lenses may introduce paralax wiith your scope and eyestrain-induced headache is almost a liklihood.
Lastly, multi-lens capability is especially important in skeet, and can really help with rifle and pistol - or, as I found out last weekend, choosing the wrong lens in a PRS match can be disastrous. The sun got bright as the morning progressed and, without thinking, I went from clear to burnt-orange lenses between stage brief and my turn to shoot. Timer beeps, I get on the rifle, scan for target #1... it's nowhere to be found. None of them were! I timed out without getting off a shot! I couldn't understand - I knew where the targets -HAD- been. Then I realized I'd changed lenses. Pull the glasses off, and the targets were right where they were supposed to be. Burnt-orange / bronze is fine increasing contrast for an orange-domed target against a blue sky but made mostly-gray steel plates almost invisible against a gray-brown background.
Good glasses are an investment. You won't regret finding and using good eyewear.