Screaming Maytag dryer

The problem is the idler pulley not the motor friend. Replae the idler pulley and it should be all good

It sounds to me that your belt or tensioner is worn, if the noise goes away when the ac is off then it is just the belt slipping, it takes a lot of power to run the compressor and if the belt is worn it most likely slipping on the pully when you engage the clutch.

It could be the band slipping, depending on how handy you are, you can take out the back cover and check it out while it runs. I am assuming this is an electric dryer, so taking the back cover is not so difficult, just need to figure out what type of screws it has, find the corresponding tool and take it out (make sure power is unplugged while you do this) plug it back it and let it run, you can find where the noise is coming from. If you cannot figure it out, put everything back on and then it is best to call a technician.

It is your drum bearing. You can do a Google search on your model number and type in how to replace drum bearing. There should be a step by step instructions on how to.

Hi, W/D here.
Screaming dryers can usually be traced to the drum support roller and the roller shaft. Once the screaming has commenced, both parts usually are damaged beyond reuse. Check this link; it will give you a good idea of what you need, and what to look for. You can scroll over the diagram to view the parts and assembly instructions. A lot of information, if you need it. It will be best to use tha diagrams as a disassembly guide, and confirm that the roller and roller shaft is the issue. Since you're already down to the rollers, it would be wisest to change them both at the same time, if this is the issue.
http://www.searspartsdirect.com/partsdirect/part-model/Maytag-Parts/Dryer-Parts/Model-MDE5500AYQ/3048/0151200/M0606011/00004?blt=06&prst=&shdMod=
Best regards, --W/D--

I'm not sure if its the same thing but when this 'screaming' happend to my Sportage it was the CV joints and a $400 fix. nothing to do with the engine or belts.

bad belt or the tansmission is dry

If your Maytag is a top loader equipped with a vertical transmission under the tub, the squealing may be coming from, either the brake assembly, or the snubber which the entire pedestal rides on.  Could you please post back comments and let me know if this is the type of washer you have?  

The screaming noise is probably from a dry bearing in the motor, it will probably come and go and shouldnt cause to much problem, they are supposed to be self lubricating but sometime they run dry.