Most of my cells are high drain, i still have a few pany B cells (unprotected) in use here and there, but most are high drain. Most specs are 2.5 - 2.7v up to 4.2v . Ideally you dont want to go bellow 3v which today most lights wont allow you to and shut down, blink or give an indication telling you to charge the cell due to low V. Which light are you using it in? Even though your using it for a few mins a month, depending on what output you may still need to charge regular.
After a weeks use, measure the voltage and get an idea of what you have used, for example it may show 4v, then after 2 weeks 3.8v, 3 weeks 3.6v (just examples). So then you may decide to top off the cell every 3 weeks if your use is consistent. Or simply once a week, and get into a routine. My work lights get charged daily(one i have been using), either at the end of the day or next morning. Voltages tend to be around 3.6-3.8v, but even if its not been used too much that day(4v) i still top it off, as any day could end up being hours of use. I always have spare cells anyway, so they get rotated when they get topped back up.
No chemistry likes to be discharged and left(flat) or as far as i am aware anyway, some are more tolerant to this , but it is still not good practice . So depending on use, top off frequent(days) or week/s on use. Its worth while finding out how much use your asking of your cells to get an idea.