What a truly joyful piece of software to have to take care of.
QuickBooks Pro 2010 v19.0.4002.1098

Trying simple silent install commands was not yielding much joy, nearly got there, using the MSI log file generated by the MSI. But it became clear I was missing a few properties. (putting them into the setup.ini was getting a bit wordy too)
Luckily, this site has AdminStudio… Using the Tuner tool took care of it all! Yay

Worth noting, the install has a pre req of FlashPlayer (v9 or higher) it also requires MSXML v4.0
Also, the information below is for the (specific) install I did, a single user installation on a clean machine (so no Data migration was necessary)

The following properties were added in the MST: (& copied out of the MST with Orca, hence the TAB format, if you try a command line, remember to use the PROPERTY=Value format)

QB_USERKEY       -     -     -     
QB_LICENSENUM      74XX-74XX-87XX-XXX
QB_PRODUCTNUM     5XX-XXX
LICENSENUMBER_PRO         74XX-74XX-87XX-XXX
INSTALLID_PRO        5XX-XXX
NUMUSERLICENSE     1
INSTALLFLOW1
NEXT_DIALOG_AFTER_DESTINATION         SearchFeature
INSTALL_GDS2
QBCONVERTIBLEMORPH       0
QBFULLNAME_9X      QuickBooks Pro 2010
INSTALLTIMESTAMP_PRO     MM/DD/2014 12:10:39 PM
INSTALLTIMEHISTORY         2014MMDD121039
QBMODE_PRO0000c3a51850
QB_LAYESQBUPGRADEORNEW       new
UNIQUE_NAME         pro
QBPROANDUP1
QBVERSION_APP      19.0
VALID_DESTINATION_SELECTION    19.0
DONOTOVERWRITEPRIORQB1
SETUPINIVERSION    19
SETUPINIPRODUCT    QuickBooks Pro 2010
BLDSTRATUM1

QBOVERWRITEEXISTINGVERSION    0
QBFLAVORCOUNT     0
PREVIOUS_QB_VERSIONS    0
QB_PREVINSTALLKEYCODE   0
TRIALINSTALL0
CDOEMINSTALL        0
SYMPHONYINSTALL   0
PREMIERCONVERTIBLE        0
FLAVORINSTALLEDISTRIAL   0
FLAVORINSTALLED    0
FOUNDQBISRUNNING          0

Modified:

QBMODE        0000c3a51850
QbKeyCodeValid       Valid
QBFULLNAME  QuickBooks Pro 2010

Deleted..
REGASM_EXE0

Feature changes:
Disabled (FeatureLevel=101)
Superpro_ISW
atomlimited_Pages

Enabled (FeatureLevel=100)
QuickBooks_Core
Standard
Regular
pro
DBServer_Registry

Good luck, maybe these properties will be migrated into some of the later versions...