I'm pretty sure nuclear drones are viable. As far as I've been able to find out they're not yet in serious development. Radiation shielding and cooling are relatively challenging problems to solve. 
Lots and lots of maths needed to work out the details though. Maths I haven't worked out how to solve yet. Ask again in twenty years or so
	
		
			
		
		
	
				
			Lots and lots of maths needed to work out the details though. Maths I haven't worked out how to solve yet. Ask again in twenty years or so

	
 
	
 the point is that's the way the research is going now. It's far less dangerous, much cheaper and will probably be useable in drones in the next 5-10 years.