[InFlight]

Are you attempting to restrain a shaft moving lengthwise rather than in rotation?

There are both bushing and linear bearings that are suitable for this type of usage. Standard rotational bearings will not work.

You might look at McMaster Carr to get an idea of what is available and how you might mount them, search for "linear bearings"

IGUS (First Sponsor) has the Drylin R line that's worth looking at. (They give a discount for all First Team orders. Really first rate products and customer service in my experience.)