Hold it, folks. Let's get the math right.

It's not 3:1, it's almost exactly 2.5 to 1. So hero has 5 to 2 pot odds and therefore needs 2/7's equity (28.5%) or greater to bet.

I ran the stove with J6o against the Top 30% of hands:

equity win tie pots won pots tied
Hand 0: 67.470% 66.54% 00.93% 5031205758 70566381.00 { 55+, A2s+, K5s+, Q7s+, J8s+, T8s+, 98s, A7o+, A5o, K9o+, Q9o+, J9o+, T9o }
Hand 1: 32.530% 31.60% 00.93% 2389195944 70566381.00 { J6o }


And, of course, my point is the same as badgers' and the guys you were playin' with: it's hard for any hand to be worse than 2.5 to 1 dog against the range of a desperate mini stack who has less than 3BB left. Heck, you might even be ahead . And at this point in the game, it's a very small portion of the stack you have left. Time to take a chance, imo.