Without direction
at random, wildly, in all directions, frantically, instinctively, madly, purposelessly, aimlessly, confusedly, indiscriminately, pell-mell.
Antonyms directly, purposely*, straightforwardly.
Without thought or judgment
heedlessly, carelessly, recklessly, passionately, tumultuously, wildly, thoughtlessly, regardlessly, impulsively, inconsiderately, willfully, obtusely, purblindly, unreasonably, unreasoningly, without (rhyme or) reason, senselessly; see also carelessly, foolishly.
Antonyms thoughtfully, carefully*, prudently.