Not sure if you are aware yet with your new amp but if you download the Line 6 monkey and then update the firmware of your amp to the most recent version you can also get a free upgrade which is called infusion 2.0 or something like that. It contains many more effects and might have a harmonizer or octaver effect which may help in dialing in the tone you want.

I know this probably isn't all that much help in your search,but it is what it is. Good luck.

Edit: There is no harmonizer or octaver in the infusion 2.0 update but there are plenty of new "pedals" that could help mold that sound you are looking for,with the addition of the aforementioned harmonizing effects. Here's what is listed in the update/ugrade--->

http://line6.com/support/docs/DOC-2050