Intermittent beeping alarm type sound

What do you mean by causing my car to drop dead?

Anti theft mode did the battery cables get disconnected or are they corroded if so the power was lost and came back but the alarm sounded or just the power loss put the car in theft mode clean the battery cables with alcohol and a rag then reconnect them when the alarm sounds use you remote control to stop it and then start the car

If the dealer had change the part you sayd ask them to reset the ECU or the main computer off or car it should solve the problem

Sounds like the Body control module has an internal fault/failure. I am not sure as I have not worked on GM for a while, but it seems with so many systems failing at the same time that it would point to this module above all others. Like I said, it has been a while since I worked on GM. I would recommend getting a schematic if you are unwilling to get a professional diagnosis and start back probing connectors. Even if you are able to diagnose this yourself, Most BCM are defaulted and require Region/Country programming. It varies from manufacturer to manufacturer

hard to find anything similar but most other remote fob problems are resolved by changing the battery in the fob, let me know how you get on, have attached a link that may be of help if the new battery does'nt solve the issue
Key Fob Remote Programming Instructions 2007 Chevrolet Aveo Key Fob...

is the air filter clean?

if its a clicking sound it just might be your cv joint... dont be alarmed if it is.. i takes a very longtime to actually break it. its just worn down. i've been drivingaround on mine for about 9 or 10 thousand miles and it has not locked up yet

Is it a 2009 or a 2005 do not mess with the air bag system unless you really know what you are doing.
I have found that this usually the sdm (the main module for the air bag system). Really needs to go to the dealer.

i had the same problem with alarm system in 2005 hatchback (5 door), the dealer was no help, found by accident to spray lube oil in rear door handle as it was rusted inside and not releasing properly, thus setting off the alarm, i oiled it several times and the alarm system works fine now.

what's wromg with it?