Yes, you can put the foreign taxes from the K-1 on the sch A instead.
However, if you still want to use the 1116, you don't have to break out between passive and general income categories if this client is a limited partner with less than 10% in the ptnship and does not activity participate. That is stated in the form 1116 instructions starting at the very bottom left of page 5 of the instructions. In this instance, the form's instructions references the reg sec 1.904-5(h)(2) where this is stated.
As a matter of fact, I think that this same rule should also allow you to bypass the 1116 altogether and enter directly on the 1040 since it is only $61. The rule for reporting directly on the 1040 is if it's under the dollar thresholds, is all in the passive category, and is reported on a 1099DIV, 1099INT, or a K-1. It seems like it meets all the criteria to me.