Sounds like bushings? Wow, thanks for the insight you have provided him. lol
If you look at dozens of threads like this, you'll read the same thing. You need another person's help to diagnose the squeaking unless you like to randomly replace parts.
Get a friend to bounce the truck around while you are under the truck, trying to pinpoint the noise source. It could be any of the following things;
Lower ball joints
Upper ball joints
Tie rod ends (could be inner, outer or both)
Sway bar bushings
Sway bar end links
Control arm bushings (upper, lower or both)
So there you have it. If you have new shocks that isn't likely the problem. It may help to use a long screw driver or something and put the end it on each component, and the big end on your ear.
As you have noticed, there are no grease fittings. Ford had this great idea (sarcasm) to use "lubed for life" bushings and ball joints and tie rod ends that are not serviceable. The sway bar bushings can be removed and covered in grease, which may help. If you replace anything, use moog greaseable components.
2006 F150 FX4 Super Crew - Bilstien 5100s leveled 2", 35" KM2s, 4.56 gears, Detroit locker, Eaton E-Locker, Traction Bars, AEM intake, Xcal 2
2010 VW Golf TDI 6MT