Probably too late, but....

[Mr Cob]

Sorry to hear about your losses.

As already mentioned the normal process for parting out is:

-Coral First
-Live Rock Next
-Fish Next (It helps to list these for sale at the same time as the live rock. Sell the LR before the fish as to not stress the fish, but you need to sell the fish quickly once the LR is gone since the LR helps filter the water. For longer processes you can add PVC and other items for the fish to hide in).

-Then, Live Sand and Hardware.

Selling things in this order will prevent stress on the fish because you are slowly moving things out as they sell. Also, it helps to do frequent small water changes as you sell items to keep your water parameters in check.

Good luck with everything. Breaking down my fully stocked mixed reef 120 was no easy task and took over a month but I did not lose anything following the afore mentioned steps.