Primers are cheap and your time expensive. Design a new primer pair outside your first set and in the non coding regions as they are more unique than the coding regions. You then have options of using nested pcr or just all combinations of forward and reverse primers to get a good product

You might have multiple complementary sites for your primers or part of your primers. Sometimes a higher temp will allow weaker interactions to be reduced and only full complementary interactions with your primers and specific gene area to only happen.