I do sometimes get days and runs of days just like that, sometimes they are because I'm not doing much and haven't done much exercise in recent days, sometimes I'm brewing something (though I usually know this is the case as I'll run low for a day before I start running higher), sometimes I just don't know, I feel fine, and it's really annoying (and I'm hungry!) The difficult thing as I'm sure you know is trying to work out whether it should be a temporary fix (i.e. more bolus today) or more long term (i.e. implement basal dose changes).
I've never done a proper basal test and have just Googled to see what it entails, and it does look like quite a bit of faff to setup all the conditions. I think the stress of sorting all of that out and then being hungry might skew my readings anyway
While a proper controlled test is probably the best thing to do, you could look at the underlying trend having subtracted food intake and bolus, using nominal/historic expected carb:insulin and carb:bg rise ratios (assuming yours don't vary too much normally), and go with that.
What I would actually do is simply up my basal by one unit at each end of the day (for a 2 unit rise) and then make sure I have sufficient carbs stashed everywhere just in case I've messed it up. I have the "advantage" that my blood sugar tends to start rising in the morning, so as long as I go to bed toward the top end of my desired range I am fairly confident I won't go low, or if I do it won't be too terrible.
I upped my basal from 9+9 to 10+10 over the winter as I was trending higher (and up to 11+11 + lots of bolus when I had various man-flus during the winter), I'm now in the process of reducing it as I'm tending to run low, I'm not sure why it's at this particular point in the year though.