Here we are Ray!
obviously a ball raced shaft would be best, but not necessarily warranted.
A decent shaft as per J.perkins will/should be ok. How long is the shaft? Personally, anything over about 9 inches or so and I use a 5mm diameter one to prevent shaft-whip, especially at high revs, like 2000Kv and 3s.
As Richard suggests, the standard red plastic u/j are not up to very high revs, and a safer option is to get solid metal u/j types or a specialist type. Or even use two u/j.
My current build is a near 20,000 rpm job and, unable to get a die straight shaft I have used a rubber coupling one end and it runs as smooth as anyfink.
Ashley