Slightly high idle

Hello, Honda's are notorious for fast idle problems. What's going on is the fast idle thermo valve is not closing all the way. It's coolant controlled and located near the throttle plates. It will have 1 or 2 coolant hoses going to it. There is a cover with 2 screws that you can open and adjust the valve. You can even take it off and see if it's hanging open. I've seen most of them are adjustable for some reason. It should look something like this. I would check that first unless you have a vacuum leak. But start with checking this valve that it's not clogged up coolant passages or adjusted it's way out.

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Well now that the problem is worse. I'd say you're in the right direction. Is the coolant system full and bled properly? Since this is a thermal expansion valve, it functions off of coolant temperature. Raising the rpm's while the car is cold and lowering rpm's while warm. Either that valve is bad and sticking open now, or you may be low on coolant. The whining noise is air flow into the throttle body. While the car is cold (in the morning) remove the radiator cap and run the car, let the thermostat open and keep filling it with coolant. This way you bleed all the air out of the coolant system. The high idle thermo valve should be closed when the car warms up as well, this closes off the air port thus reducing the idle.

If you removed the throttle body, make sure the gasket for it isn't leaking, this will be a vacuum leak causing high idle also. As for the noise, if it's a bearing, such as the alternator or water pump, then identifying where the noise is coming from is next. You can use a screwdriver to identify where certain noises are coming from. Or a stethoscope, is how a bad bearing would be found. I don't think it has anything to do with the coolant system unless it's the water pump. But they don't usually make whining noises, usually a grinding noise. Can you make a video of the car running so we can hear the noise?

I should have added this previously; remove the alternator drive belt and see if the noise disappears, this will limit it down to just a few components.

That is a crazy sound, so this sound started when you removed the fast idle valve? I would remove it again and see if it's stuck in one position. If the noise started there, it must be related. Although I've never heard one make that noise. Does that fast idle valve have any electrical connections? If so try unplugging it. That sound is of electronic in nature, but the high idle was caused by you removing the throttle body, the gasket should be replaced and torqued to spec. There is a vacuum leak around the throttle plates. Get the idle to come down first and see if the noise continues. Did you pull the valve apart when you had it off the car?

Good deal. Congrats.