All the un-drilled bow risers I have seen tend to have a self adhesive, bristle rest.
You say the bow is not expensive. I would drill it and install a springy.
The nock set can be moved to fit the rest.
I wouldn't shoot off the shelf. Too much chance of fletch contact. The arrow will certainly bend around the thin part of the riser. And, it may bend around the handle too. Guess it is easy enough to try.