cold-rolled good enough?

Hi,

I need some shafting for the below purposes:

1.25" diam X 60" long buffing shaft. Runs through two pillow block bearings w/ lock collars spaced 24" apart.

1.125" diam; runs through idler wheels with roller needle bearings.

1.25" diam; must be press-fitted into two timken bearings on either side of a large idler wheel.

For the roller needle bearings, they have no inside bushing; so I know I want high-tolerance ground and hardened steel.

For the long buffing shaft, with the convenient lock collars, will cold rolled suffice? At 60" long, this is going to cost me the most.

For the large idler wheel, I need a press fit. Again, will cold-rolled work, or do I want better, perhaps precision ground although not necessarily hardened?

thanks for the advice! -Bernard Arnest