I made a version which allows you to reinsert SDHC.
SDHC Extension 1.1[Bero]
* C23CB3D8 00000004
* 546302D7 41820014
* 38600001 3C808058
* 60840300 90640000
* 2C1D0000 00000000
* C23EEE18 00000007
* 80610014 54630253
* 41820028 38000009
* 8061000C 5463C43E
* 38630001 1CC30400
* 3C60803E 6063EE58
* 7C6903A6 4E800420
* 80A1000C 00000000
* C23CB620 00000008
* 3D60805A 616B9350
* 816B0000 2C0B0000
* 41820024 2C040040
* 4182001C 39600001
* 91610008 3D60803C
* 616BB410 7D6903A6
* 4E800420 9421FFC0
* 60000000 00000000
* C23CB4AC 00000003
* 38C00000 2C160000
* 41820008 38C00001
* 60000000 00000000
* C23CB5D4 00000009
* 807C001C 2C030001
* 806DCE1C 41820034
* 80030000 90190000
* 80030004 90190004
* 80030008 90190008
* 8003000C 9019000C
* 3C60803C 6063B5E0
* 7C6903A6 4E800420
* 60000000 00000000
* 043EEA20 48191905
* 043EEC1C 48191709
* 06580324 00000028
* 3F008058 63180300
* 83180000 2C180000
* 4182000C 7CB92B78
* 48000008 7F2531D6
* 548006FF 4E800020
* 043EEB6C 481917E1
* 043EED68 481915E5
* 0658034C 00000028
* 3C608058 60630300
* 80630000 2C030000
* 4182000C 3B390001
* 48000008 7F39BA14
* 4E800020 00000000
* 043CBA24 481B48E1
* 043CBD60 481B45A5
* 06580304 00000020
* 3EC08058 62D60300
* 82D60000 2C160000
* 41820008 7C802378
* 7C040040 4E800020
* C23EE0BC 00000003
* 38000000 3C60805A
* 60639350 90030000
* 3C60805A 00000000
If you experience freeze with this code, please try to return to main menu before you reinsert SDHC, and then enter CSS.
As far as I see I can reinsert SDHC with this code.