Hi you will find that there is whole towns in northern Italy in the veneto region with the surname Frigo. Tresche conca & cesuna in roana are populated with loads of Frigo's. this is just 15 minutes south of asiago near canove.
There is Fort Corbin which has a lot of history from wars that you might be able to get information from or the war memorial in Asiago. locals are happy to chat to you in tresche conca to people looking for information regarding family history but if you don't speak Italian it will be difficult as not many people speak English.the cafe is the best for doing this in the morning. The tourist office is very helpful in tresche conca.
I hope this helps.