Hmm, so, no specs on the coils. At least, I didn't see any more info on the main page (I'm not going to go digging).
So you want a high voltage slug of charge to overcome the inductance, then a minimum 12V when on? And the slug should be limited, so it stops charging the inductance beyond 60mA?
What's wrong with this? :)
Q2 and D2 don't need to be 100V, but I presume you'll want similar turn-off speed.
Or if you don't want a hard 12V minimum, but always with current limiting (say for short circuit protection purposes), Q2 or preferably D1 can be enhanced with a CCS circuit.
DN3545 might not handle the energy needed (which is, hmm, 5H at 60mA is ~10mJ, that's not too bad), but there's TO-220 versions out there. I just threw down what was handy in my library...
You don't even need C1 if the DC-DC is designed properly. A good old fashioned UC3843 current mode controller will limit short circuit output current to a fixed value. You could make it boost on top of +12V, so D1 is actually the rectifier diode as well, C1 is really small (0.1uF or less?), and the switcher itself takes the place of Q1-R1. Q2-D2 would still be as shown.
Tim