Heat up the solder on the pins in question, use a wick or a solder sucker to remove it (you might wish to add some more solder, or some nice leaded solder and take that off as well). At that point use a scalpel, pick or something similar to get under the pins and bend them up a few degrees. At that point you can measure again. Might be worth having a go on another device or another device with bigger pins first.
Try not to get any solder bridges underneath the pins else you might get a false positive but you can usually see such things. Can also be a problem when you spilled something on there and it dried conductive but that is likely not the case here.