This is only a workaround but you can do disable High DPI support for bridge.exe by using an external manifest file. To do this you need to edit your windows registry to enable external manifest files:
HKEY_LOCAL_MACHINE > SOFTWARE > Microsoft > Windows > CurrentVersion > SideBySide
Add a DWORD called "PreferExternalManifest" and set it to "1"
Now create the in the same folder as bridge.exe create a file name bridge.exe.manifest with the following contents:
<?xml version="1.0" encoding="UTF-8" standalone="yes"?>`
<assembly xmlns="urn:schemas-microsoft-com:asm.v1" manifestVersion="1.0" xmlns:asmv3="urn:schemas-microsoft-com:asm.v3">
<dependency>
<dependentAssembly>
<assemblyIdentity
type="win32"
name="Microsoft.Windows.Common-Controls"
version="6.0.0.0" processorArchitecture="*"
publicKeyToken="6595b64144ccf1df"
language="*">
</assemblyIdentity>
</dependentAssembly>
</dependency>
<dependency>
<dependentAssembly>
<assemblyIdentity
type="win32"
name="Microsoft.VC90.CRT"
version="9.0.21022.8"
processorArchitecture="amd64"
publicKeyToken="1fc8b3b9a1e18e3b">
</assemblyIdentity>
</dependentAssembly>
</dependency>
<trustInfo xmlns="urn:schemas-microsoft-com:asm.v3">
<security>
<requestedPrivileges>
<requestedExecutionLevel
level="asInvoker"
uiAccess="false"/>
</requestedPrivileges>
</security>
</trustInfo>
<asmv3:application>
<asmv3:windowsSettings xmlns="http://schemas.microsoft.com/SMI/2005/WindowsSettings">
<ms_windowsSettings:dpiAware xmlns:ms_windowsSettings="http://schemas.microsoft.com/SMI/2005/WindowsSettings">false</ms_windowsSettings:dpiAware>
</asmv3:windowsSettings>
</asmv3:application>
</assembly>
Now launch bridge.exe and the fonts should now be easy to read.
If you want more detailed instructions I wrote them out here:
http://visihow.com/Increase_Font_Size_in_Adobe_Bridge_on_a_High_Resolution_4k_Graphics_Card_and_Monitor_So_It_Is_Not_Too_Small_to_Read_Text
Please note you will need to edit your windows registry which some users may not be comfortable with.