The question is flawed because it presumes that you are flying a published instrument approach procedure in uncontrolled airspace without an IFR clearance.
Looking at the VFR sectional you can see that there is a shaded magenta border around this airport that signifies Class E airspace, (controlled airspace) with a floor of 700' above the surface. You cannot fly in controlled airspace, in IMC, without an IFR clearance. And the published procedure contains a couple hard altitudes well above the 700' floor.

The reason for this is to control and protect instrument traffic going into and out of uncontrolled airports during instrument meteorological conditions. In order to get into the Class G airspace from the surface to 700' above the field during IMC, you need to first transition through the overlying Class E. The published altitudes for the procedure turn are in controlled airspace, and the square "keyhole" extension to the North would seem to exist for the very purpose of containing this procedure turn.
So in short, you fly what you are cleared for. If cleared for the straight in approach you would not have to execute the procedure turn. The presence or operation of a control tower at the field is not pertinent to the question - tower doesn’t clear you to fly an instrument procedure, the approach controller does.
Worth noting, if cleared for a straight in RW 17 approach with weather at minimums, you would only be in Class G, (uncontrolled) in IMC for about 200' or roughly 20 seconds descending before you would either break out and continue in VMC, or go missed. Not a lot of exposure, or freedom for creative deviation...