You will find it mentioned several times on this forum that large kites in low wind offers safer, stable power for kite traction. As you have noticed,
small kites in high wind fly fast and develop sudden bursts of power. They fly erratically in gusts easily flipping over and diving to the ground.
There are situations where a 3 meter kite is the right choice (so hang onto it). I fly a 3m on long lines when the wind is high but stable. The long
lines (100ft+) cause the kite to fly and react more slowly, and smooth conditions allow you to find the sweet spot in the sky where the power is
dependable.
But less wind with larger kites offer the best buggy/skate/ATB conditions. Because they are larger and develop more power, you can leave them parked
near the edge of the wind window where they can better deal with gusts while enjoying enough power to roll.
Hang on to your 3m kite, but look into buying a 5m+ and a good harness, then try skating in less wind. BTW: "cross-wind" is the direction
you should be going most of the time.