WordNet (r) 3.0 (2006):

haphazardly
    adv 1: in a random manner; "the houses were randomly scattered";
           "bullets were fired into the crowd at random" [syn:
           randomly, indiscriminately, haphazardly, willy-
           nilly, arbitrarily, at random, every which way]
    2: without care; in a slapdash manner; "the Prime Minister was
       wearing a grey suit and a white shirt with a soft collar, but
       his neck had become thinner and the collar stood away from it
       as if it had been bought haphazard" [syn: haphazard,
       haphazardly]

Moby Thesaurus II by Grady Ward, 1.0:

77 Moby Thesaurus words for "haphazardly":
   about, aimlessly, airily, any old way, any which way, anyhow,
   at haphazard, at hazard, at intervals, at random, brokenly,
   bunglingly, by catches, by chance, by fits, by jerks, by skips,
   by snatches, capriciously, carelessly, casually, clumsily,
   cursorily, desultorily, disconnectedly, discontinuously,
   disregardfully, dysteleologically, erratically, fitfully,
   forgetfully, heedlessly, helter-skelter, here and there,
   hit and miss, hit or miss, in snatches, in spots, inattentively,
   inconsiderately, indiscriminately, inexplicably, infrequently,
   intermittently, irregularly, messily, occasionally, offhand,
   offhandedly, once over lightly, per saltum, perfunctorily,
   promiscuously, purposelessly, randomly, recklessly, regardlessly,
   skippingly, slapdash, sloppily, spasmodically, sporadically,
   stochastically, tactlessly, thoughtlessly, unaccountably,
   unguardedly, unheedfully, unheedingly, unmethodically, unmindfully,
   unsolicitously, unsystematically, unthinkingly, unvigilantly,
   unwarily, willy-nilly