Thank you for the responses. FWIW, these are massive overbets by spewy players, and I called in both of these spots. In the first, villain flopped bottom set, the board bricked, and I lost (gasp) $2. In the second, villain had JJ, the board bricked, and I won (gasp) $5.
Obv, I'm folding to a rock in both these spots, and called due to the spewtard nature of both opponents.
I've been playing in very loose games against players who will call a psb on the flop with bottom pair or medium pp. My standard pfr is 3xBB +1 BB for each limper +1 BB if I'm oop. My example didn't reflect that. I wasn't thinking when I wrote it I guess...but my goal for this thread was to generally find what factors besides pot size, stack sizes and the betting style of your opponent I should be considering when facing these overbets.
Two examples from last night's session, in a .05/.10 9-seat NLHE game:
#1: I held KJs on the button. I have a stack of 65BB. MP (24/12/2.

with a stack of appx 80BB raised to 3.5BB preflop, it's folded to me, and I flat call. (Against a tighter player I'd fold this hand, but I have the button and feel it's worth the gamble.) BB calls and we're off to the flop 3-handed (14BB in the pot). Flop comes KJ6 rainbow. BB checks, MP shoves for 75BB. I'm thinking he has either AA or AK, so I'm ahead, and I call all in. BB folds. MP has AQo. Huh? AQo. Oooookay. I'm something like 85% favorite.
#2: I'm dealt QQ in MP. My stack is 75BB. Folded to me, I raise to 4.5BB. Villain to my left with 150BB flat calls. Villain is a maniac (68/36/5.6). Everyone else folds. (10.5BB in the pot) Flop comes 368 rainbow. I lead out for 10BB (I was tempted to make it 20BB and overbet the pot myself, but I want action). Villain shoves for my remaining stack. Suddently, my QQ feels weak. I don't like it but against this player I'm never folding an overpair, so I call. He shows AJo. I'm like a 88% favorite.
In both these hands I got unlucky and lost. I don't think I played either incorrectly, but what do you think?
As far as my results are concerned, it's true I'm not happy with them. Lifetime I'm winning in the microstakes. Been playing for 7 months, and I'm up (gasp) $110. My BB/100 is something like 2.0. I feel I should be able to improve that.
The last two months, I've been getting unlucky after getting my money in good, or gambling on good draws where the odds make it correct to chase...and then I don't get there. I don't think I play results oriented while at the table. I simply try to make good decisions. But the results haven't been evening out. Either I'm just running bad (true), or I need to make some adjustments (also true).
But for the purpose of this thread, what else do you consider when facing the massive overbet?
If you can't be kind, at least have the decency to be vague.