Trophy For The Scottish Challenge Cup League Phase?

I Think There Should Be A Trophy For The Scottish Challenge Cup League Phase.

In the Scottish Challenge Cup this season. there is a League Phase before the Second Round. 

The League Phase determines qualification for the Second Round. The Scottish second tier teams automatically join in at the Second Round stage. While the Scottish Challenge Cup League Phase determines the additional qualifiers for the Second Round. 

The League Phase has 10 Scottish Premiership B sides, 10 Scottish League 1 sides, and 10 Scottish League 2 sides.

At present Inverness Caledonian Thistle are top of the League Phase. 

My idea is there should be a trophy called the Scottish Challenge Cup League Phase Trophy. 

I know there is a trophy for the Final of the knockout stages, where the winning team is given a trophy. But I think there should be an extra small trophy for the League Phase, additionally.