Here is a link 
<http://www.infineon.com/dgdl/Infineon-Application_Note_Applications_for_Depletion_MOSFETs-AN-v01_00-EN.pdf?fileId=5546d4624cb7f111014cd63d1a197d94>
 
to a paper about using a depletion mode MOSFET for the same purpose. It 
gives this equation for calculating the resistor value, which I assume 
would be the same for all depletion mode MOSFETS (!?):

<https://lh3.googleusercontent.com/-BIZNnjZU_6Y/WOgFjAlbUJI/AAAAAAAAAi4/6FaT3NlNgJ0hFwLOnQChLGzvyur6iVq-QCLcB/s1600/Capture.JPG>

VGS(th) is the gate threshold voltage of the MOSFET, IDSS is the on current 
at VGS = 0 V and ID is the required current.


There are plenty of these around with suitable voltage characteristics.

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