In that case, use amble. Amble implies no particular hurry, whereas ramble and roam imply no particular direction, and meander sort of implies neither a hurry nor a direction.In this context "flâner" means "not being in a hurry". I don't think "wander" could apply here.
I would rather say "I've got no time to hang about".
Now let's see how the natives will put it.