[nihakue]

But this messes with the distribution (you now have two ways of rolling a 2: 1,1 and 2,5) and makes outcomes like '1' possible (1, 6), which shouldn't be

[bazzargh]

a normal D6 and a D10 with 1-5 twice. If total is 7, use the D6 plus 6 instead. The roll table for that is exactly that of 2 D6 with the 7s removed. The 7s shift to the last column.

      1  2  3  4  5    <- D10
    1 2  3  4  5  6
    2 3  4  5  6  >  8
    3 4  5  6  >  8  9
    4 5  6  >  8  9  10
    5 6  >  8  9  10 11
    6 >  8  9  10 11 12

[nihakue]

Oh I see, I misunderstood. Yep I like your way best so far although I didn't see the problem with rerolling