I'm surprised an experienced Specialized dealer doesn't have repair options for you. Looking back on the 2012 Crux specs it appears that your bike has a BB30 bottom bracket and came with an FSA Omega crankset. If you still have this crank it should only require a 10mm Allen wrench to turn the self extracting bolt on the NDS crankarm and pop the arm off. The DS crankarm and spindle can the. Be pushed or lightly tapped out of the BB bearings.

True BB30 bottom bracket bearings are pressed directly into the frame up against circlip stoppers. If your spindle is properly greased the noises could be from worn out bearings that need replacement. If the bearings turn smoothly, it could be that they fit loose in the frame. You can tap out bearings with a punch or BB30 braking removal drift or tool. New bearings can. Then be pressed in using a botto, bracket type press and drifts. If your frame shell tolerances are loose you may have to use loctite bearing retainer to reduce any gap. Specialized may have a documented approach for this fix. Cannondale definitely does.

I own an almost identical bike. I also immediately changed the praxis works BB and crank upon purchase, inserted BB30 bearings and just used specialized 30 to 24mm spacers and installed a shimano 50/34 crank. I did this with the mindset that if it creaked uncontrollably I would immediately replace with a wheels manufacturing (or similar) outboard/full sleeve BB.

Mine has been pretty much faultless in this configuration so no need to replace the BB, however I have another bike in which I'll very soon replace a PF30 BB with a wheels manufacturing BB. Note that I'm not replacing this due to creaking, but for other reasons. I would, however, recommend this as the best way to avoid BB creak in these cases.

Maybe just been lucky, but all my bikes for the past ~6 years have had BB30 or PF30 BB shells, and have never had a problem removing a creak. I'm sure you've done this, but have to ask: have you had the entire BB removed, throw out and replace clips and bearings, grease everything heavily and if using a 24mm axle crank, use spacers such as the wheels manufacturing ones made of delrin (ie not metal), so they're less prone to creak?