Two times in one week, I've pulled the same runstreak trick: span one run over midnight to qualify as two days of running. It may seem like a cheat, but it has legitimate benefit. Think of it this way: a runstreak is running a minimum of one mile per day, every day. If you're training for anything other than a 5k run, most of your runs will be longer than one mile. We know that our bodies require rest periods to heal from the stresses we put it through, and training does this by design. A runstreak, therefore, is in direct conflict with the concept of "rest days".
By spanning a longer run over the midnight hour, I get to accomplish a couple of very important things: blow off steam, qualify two runs in one outing, I get to try out my new headlamp, and give myself at least 32 hours before I have to run again. If I had run in the morning on the day prior, there would be another 32-38 hours between runs. In the span of four days, I still run every day, but rather than having them evenly spread in 24 hour segments, I get longer rest periods in between.
To take this strategy to the extreme, consider that running every other night starting prior to midnight with sufficient time to finish at least one mile would allow almost 47 hours between runs. It still counts as a run per day, but it also gives an exceptional amount of rest between.
So, if you're getting burned out from running every single day and need some time off, consider a run that spans the midnight hour. Even one of these in a week is enough to give you a "day off" while technically qualifying as a run per day, keeping your streak alive!