Gridding noise on right side in engine compartment,or possible hub/wheel bearing

You have a worn out wheel bearing. Nothing else has this symptom.

Assuming that you have already ruled out the brakes, severely worn engine mounts can transmit vibration and noises from the engine which are not normally heard. You don't say in what I see but is the vehicle two or four wheel drive. Since you mention CV half shafts I have to assume it is at least front wheel drive. If the vehicle is four wheel drive then there is a front differential with bearings in it that may be at fault. Have you done both sides when you say "hub assembly". Defective hub bearings will make grinding noises which will change tone or intensity when turning, accelerating or braking however the noise is usually fairly constant unless they are only just starting to fail. CV joints don't normally "grind" unless they are really bad. They usually make progressively worse "clicking" sounds or "clunking" sounds especially when turning hard, changing gears or direction of travel (forward to reverse and back again). Do you have non-stock tires/wheels? Larger/wider than factory spec tire sizes can rub the fender wells when the car is moving or turning. Another thing it could possibly be is the air dam below the front bumper. If it is loose it will push down in the airstream while the car is moving and rub on the ground.

One wheel turning faster than the other is normal if both wheels are off the ground. If one wheel is dragging when the other wheel is on the ground, it could be brakes or a wheel hub bearing.
Usually if the noise happens on right turns, the left hub bearing is failing, and vice versa.

The noise needs to be identified to if this comes from the steering linkages or the penumatics. The test would be better is you can hoist the car and test then release and test as the noise could must be heard better with wheels resting. If not the noise is linked with the movement and so it can be fault in the hub, bearings , the ball joints or the suspension.
Remove bothe side wheels and check hub and bearings, check for fault in the tie-rod ends and the linkages to the steering system. You might find the fault in this section.

If it gets worse as you're turning right, but not left - Most definitely a wheel bearing on the right side. The right turn puts more stress on the right wheel - louder noise - turn left and release the stress - no noise. You can also lift the vehicle up on a jack and listen to the wheel and hear the bearing in the hub making noise.

rear suspension mount rubbers , loose rim on hub, wheel bearings are all possible problems

Hi:
Often "humming" noises like what you are experiencing are caused by a failing bearing somewhere. Some usual suspects are wheel bearings, alternator bearings, and sometimes even your waterpump, but usually it starts leaking too. To start narrowing down what it is, have someone ride with you to see if the noise is coming from left side or right side, or engine area, then see if it happens when the car is not moving, or just when the drive wheels are pulling the car? This way , hopefully you can pin point the culprit!

Yes it could be but to be sure, i would jack the car up and pull and push on the tire and see if it moves at all.

Good Day,
It would make sense that it is suspension related as it does not make noise at idle but going down the road it does. I would lean towards it being a bad wheel bearing. Does it sound like it's coming from one side or the other? Also how many miles on the car? Does it get louder when the wheels are turning?

You can check the bearing easily by jacking up that wheel and moving it side to side and up down checking for play, a little bit of play is normal.

Hope this helps and Good Luck