So for grins a couple days ago, I constructed a BiaB Circle of Fifths "song" that walks around the circle from 12 O'clock to 12 O'clock.
I do something similar, though as I'm jazz-oriented I tend to use a ii-V7-I-I sequence, on the next bar, changing the I to the minor as my new ii, so I get something like this (starting in C):
Dm-G7-CMaj7-CMaj7
Cm-A7-BbMaj7-BbMaj7
Bbm...
It's particularly helpful for me as jazz tends often to follow that progression, though it will almost always break away from that somewhere.
For other types of music, a mix of I IV V or I IV V vi might be better.
Don't complicate unnecessarily, though. Don't think I'm saying "you should do this!" ... it's just somthing to think about and maybe try.
FWIW, I also quite often just improvise to standard or minor blues loop. Less thinking about the progression means more relaxed and, hopefully, more fluid and expressive.