The phrase "a bit instead" is correct and usable in written English.
It can be used when suggesting a small change or alternative to something previously mentioned.
Example: "I was thinking of going out for dinner, but I might just stay home and cook a bit instead."
Alternatives: "a little rather" or "somewhat instead".
"He was guiding the ball a bit instead of letting go," Torre said of Grimsley.
If she had had a kind and loving husband who delighted in her oddities a bit instead of my dad, maybe it would have been better for her.
Roddick almost falls to his knees in jubilation - he clearly considers it, before thinking twice and just jumps around a bit instead.
The Reds' catcher, Ryan Hanigan, said Cueto was laughing about the chants, and his problems were mechanical; he seemed to be falling back a bit instead of driving his body toward the plate.
Almost any fruit can be layered on top of the crust, and the fruit can be spread with jam (warmed a little so it thins a bit) instead of brown sugar; a pear tart I made with ginger marmalade was especially good.
It means that I can relax a bit instead of checking the weather forecast or looking out of the window every five minutes.
If you really want to be annoying, bug a lot of people just a little bit, instead of bugging one person a lot.
The names change a little bit: instead of a linearized vector bundle one talks here of G-equivariant vector bundles, and there is a theory of equivariant characteristic classes, i.e., these classes are equivariant for morphisms of G-spaces (spaces with a G-action).
"Even going into overtime, it was almost like we were still exhaling a little bit instead of getting ready for overtime," Houston said.
"If we can protect him a little better than we did last year, people will see him get to throw the ball a little bit, instead of just getting smoked, like he did last year," Ryan said, laughing.
