Don't forget to check BOI-MSP-XXX-EU, where XXX is another international gateway such as DTW, MEM, CVG, PIT (perhaps easy to find award seats to CDG on the 757 nonstop), etc.

Also, are you willing to consider an overnight layover in the US before/after your TATL flights? This could give you more options for getting the domestic connections included on your award ticket, but you need to consider the hassle and hotel costs.