I am not sure what area you are in, but you don't need to be in the middle of nowhere to break 200 out of residency on Peds. Most initial offers in the mid sized city near me were around 200 out of residency for clinic only 5 day per week, 25 patient per day jobs. My friends in similar cities we're getting similar offers.
Truely middle of nowhere practice with call at the local hospital pays 280-300/year.
If you are in DC, New York, Boston, or an desirable city in Cali then you are getting fair offers. I don't think it's worth it to you to stay there, but you wouldn't be alone if you disagreed and that is what those cities pay. If you are anywhere else you are getting low balled, and your friend got screwed