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не раздумывая stresses
gen.	bald-headed; off hand; on the spur of the moment (Anglophile); without a moment's hesitation (Anglophile); off the reel (Anglophile); right off the reel (Anglophile); straight off the reel (Anglophile); offhandedly (Andrey Truhachev); unhesitantly (Рина Грант); lightly (Andrey Truhachev); without thinking twice (driven); off the top of one's head (He answered the questions off the top of his head); straight out (without thinking Andrey Truhachev); harshly (Aly19); unthinkingly (Andrey Truhachev)
Игорь Миг	any day
amer.	not thinking twice (about Val_Ships); without missing a beat (Val_Ships); off the cuff (I could give an opinion off the cuff, but I'd rather think about it. Val_Ships)
book.	with nary a thought (Халеев)
idiom.	out of hand (The offer was so good that I accepted it out of hand. goorun)
inf.	on the fly (without preparing and without thinking too much: She was the sort of person who would make decisions on the fly rather than allowing herself time to think. Val_Ships)
Makarov.	like a shot
не раздумывать
gen.	not think twice (The victim says she didn't think twice about running after the man. She immediately got up and starting chasing her assailant. ART Vancouver)

не раздумывая: 15 phrases in 5 subjects

Figurative	1
General	4
Informal	1
Makarov	8
Slang	1