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Squeeking??? I'm beting on it being the outer tie-rod ends..
Yeah, that's the best I know how to describe it. I'll see if I can get a sound clip for you guys. But there may be so much engine noise till you can't hear it.
Rear end grease? Do you have the LSD rear? Sounds to me like it is the rear diff clutch packs. It is over due for a drain and fill. Make sure you use the synthetic for LSD's and use the friction modifier. My dealer re-did the fluid change I did and added an extra bottle of modifier and it cleared up the grinding that a single bottle didn't.
Probably want to do the T-case and front diff too. T-case isn't hard, just hard to wiggle around and you need a fill tube to get the fluid back in. Front diff cover is annoying and the job is messy.