I have EXACTLY the same problem, and no obvious solution.
I did manage to force a delete of Safari 6.0.2.
I used "Get info" on the rogue Safari application and then in Sharing and Permissions changed everthing to read & write.
I then tried installing 6.0.1, but the program is still broken.
I then used timemachine to restore an old version of Safari 6.0.1, but the program is still broken.
I deleted 6.0.1 and then installed the 1st Safari for Lion 6.0.0, but the old program is also broken.
My 5 year old Black Macbook cannot be upgraded to Mountain Lion.
I'm now stuck using Google Chrome browser as a temporary workround.
Upgrading a browser from 6.0.1 to 6.0.2 shouldn't destroy the browser.
Reverting back to 6.0.1 should be an option!
Open the applications folder
Right click on Safari
Select "Show Package Contents"
Delete the folder "Contents" in the window that opens (you will need to enter your password)
Type (without quotes) "sudo rm -d /Applications/Safari.app"
Enter your password again.
Safari should now be deleted, and you can then restore from Time Machine
I selected and opened Safari and deleted Contents.
I then deleted Safari using Terminal.
I then restored Safari 6.0.1 (Created Mon 1st August) from my Timemachine backup.
The restored Backup still doesn't work and crashes on launch.
The crash report gives the following technical info about the problem:
Process: Safari 
Version: 6.0.1 (7536.26.14)
Build Info: WebBrowser-7536026014000000~1
Code Type: X86-64 (Native)
Parent Process: launchd 
Date/Time: 2012-11-09 22:47:40.218 +0000
OS Version: Mac OS X 10.7.5 (11G63)
Report Version: 9
Interval Since Last Report: 66863 sec
Crashes Since Last Report: 1985
Per-App Interval Since Last Report: 195712 sec
Per-App Crashes Since Last Report: 6
Anonymous UUID: CFE007BA-9AFD-4129-8165-83843D28414B
Crashed Thread: 0
Exception Type: EXC_BREAKPOINT (SIGTRAP)
Exception Codes: 0x0000000000000002, 0x0000000000000000
Application Specific Information:
dyld: launch, loading dependent libraries
Dyld Error Message:
Library not loaded: /System/Library/Frameworks/Accounts.framework/Versions/A/Accounts
Referenced from: /System/Library/StagedFrameworks/Safari/Safari.framework/Safari
Reason: image not found
0x100d60000 - 0x100d60fff com.apple.Safari (6.0.1 - 7536.26.14) <72FC923C-4E54-310F-B79C-D14AE194E6AE> /Applications/Safari.app/Contents/MacOS/Safari
0x100d6b000 - 0x101260fff com.apple.Safari.framework (8536 - 8536.26.17) <A28655B2-8394-32D4-82C2-725FAD855E48> /System/Library/StagedFrameworks/Safari/Safari.framework/Safari
0x7fff60960000 - 0x7fff60994baf dyld (195.6 - ???) <0CD1B35B-A28F-32DA-B72E-452EAD609613> /usr/lib/dyld
0x7fff917e6000 - 0x7fff91813fe7 libSystem.B.dylib (159.1.0 - compatibility 1.0.0) <095FDD3C-3961-3865-A59B-A5B0A4B8B923> /usr/lib/libSystem.B.dylib
Model: MacBook3,1, BootROM MB31.008E.B02, 2 processors, Intel Core 2 Duo, 2.2 GHz, 4 GB, SMC 1.24f3
Graphics: Intel GMA X3100, GMA X3100, Built-In, 144 MB
Memory Module: BANK 0/DIMM0, 2 GB, DDR2 SDRAM, 667 MHz, 0x2C00000000000000, 0x3136485446323536363448592D3636374531
Memory Module: BANK 1/DIMM1, 2 GB, DDR2 SDRAM, 667 MHz, 0x2C00000000000000, 0x3136485446323536363448592D3636374531
AirPort: spairport_wireless_card_type_airport_extreme (0x14E4, 0x88), Broadcom BCM43xx 1.0 (188.8.131.52.15)
Bluetooth: Version 4.0.8f17, 2 service, 11 devices, 1 incoming serial ports
Network Service: AirPort, AirPort, en1
Serial ATA Device: ST9500420AS, 500.11 GB
Parallel ATA Device: MATSHITADVD-R UJ-857E
USB Device: Built-in iSight, apple_vendor_id, 0x8501, 0xfd400000 / 2
USB Device: Elements 1042, 0x1058 (Western Digital Technologies, Inc.), 0x1042, 0xfa200000 / 2
USB Device: Apple Internal Keyboard / Trackpad, apple_vendor_id, 0x022a, 0x5d200000 / 3
USB Device: IR Receiver, apple_vendor_id, 0x8242, 0x5d100000 / 2
USB Device: Bluetooth USB Host Controller, apple_vendor_id, 0x8205, 0x1a100000 / 2"
My issue with 6.0.2 was that websites were acting "strange" whenever I would try to put something in a shopping cart. It seemed a bit buggy, so I downgraded and all is fine. I didn't have crashing issues, so unfortuately, I can't help you. Did you try trashing the .plist file? Many times that helps.