I also own both of these guns and think either would be a good choice. The Browning is the standard model 5 1/2 inch bull barrel, standard iron sights, the Sig is the competition model made by Hammeril in Switzerland, it also has the standard iron sights, but much better quality than the Browning. Topped with a scope, either one would be a great pistol, the cost of the Sig was almost double the cost of the Browning.
What feels best to you?