Perhaps dimmable LED bulbs would be better in that regard? The LED dimmers on the market use a very high rate PWM (afaik) to prevent/minimize flickering at low brightness. I would guess that the dimmable bulbs are designed to work well with intermittent power and so wouldn't have the same problem.

Of course it's still hit or miss, compatibility between bulbs and dimmers seems to be very hard to judge without testing these days.