50mA load at 60V is 3W. Assuming 85% efficiency, that's 3.5W in. You can forget about the 9V battery or two Alkaline AAs because the output voltage will collapse at high load currents and you'll never get 3.5W out of them.
Heavy duty LiPO/Li-ion or NiMH are an option, but higher voltages will make the design much easier as the input current will be reduced. I wouldn't want to design for less than 6V in e.g. 6 AA NiMH or two 18650 Li-ion or a 2 cell LiPO pack.
If you have to use primary cells, 4 AA would be marginal, with a service life of about an hour so you, d do better to use 4 C cells or 8 AAs.
Linear Technology's LT1170HV is a possibility but if you don't have prior experience of building switching power supplies, its not likely to go well.