Hello. What you have to remember is trust your data. Choosing the correct ROI's to fit what you expect your coefficients to be is a backward way of doing things and it not experimental physics. When you identify your peaks and highlight them, whatever that data provides you with you must take as your value, even if it is wrong.
Now, if it is wrong, or let's say, not close to the accepted value, you need to take into consideration your sources of error, which you haven't mentioned? I presume you calibrated MAESTRO? Check how many sources you used, i normally use 137Cs 60Co and 57Co along with 152Eu which provides a great range of energies and therefore a good calibration. There will be errors on the calibration and there will be signs of non-linearity, either integral or differential and these need to be combined in order for you to get good error bars, as well as systematic and ststistical errors which are a part of any counting experiment. If you have a value, and an error and you can hypothesize WHY your coefficients may be not as close to accepted as you would like, you will not lose marks when having your report assessed. If, however, you fudge your results and define your ROI's to best match what you would like to see, then you will never make it as an experimentalist!
TRUST YOUR DATA AND EXPLAIN SOURCES OF ERROR! that is the best advice i can give you. Good luck. Andy