Then do it! Lots of good advice above.
There is nothing better than bimbling around at 500' on a warm summer's day with the door open.
I don't have much experience on the Cub and I had to look up the crosswind limit - 10 kts. Bearing in mind that the number is the "maximum demonstrated" value and that on a Cub forum that I looked at, many pilots indicated that the "airframe" crosswind limit is about double that value, I would say you should not have any qualms about cross-wind capabilities.
And as Step Turn says, you can always land diagonally across the runway, or even across it as I did once.
Concerning the speed, yes it's faster than your bike, but slower than motorway traffic when heading into a strong wind!
