HRM, HIIT, strength training and eating back calories

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I would love to get some advice in regard to logging HIIT and weight training calories burned. I had been using my Polar F4 heart rate monitor for everything. I guess I was completely clueless, because I just learned that it will not give me accurate readings for strength training or HIIT. How does one accurately account for those calories in your log? I was contemplating just excluding tracking them, or using MFP estimates and not eating back the calories. I have been losing weight, but I worry I have grossly overestimated calories burned. So do you log those calories, and if so, how? Also if I'm not eating back exercise calories, am I ok at 500/calories a day below TDEE?

Thank you!!