The best route we received was the following:

(a11,i5), (r16,g7), (o17,e9), (t17,f8*), (m14,g7), (p15,h6), (n18,j6*), (s13,h10), (s18,k7), (s19,g11), (q4,j14), (p6,s13*), (e20,t20*),

which has a score of .0874. (Moves that swing around intermediate posts are denoted with a *.)

Congrats to the two entrants who found this path!