Mission accomplished! I delayed reporting until using up two tanks of fuel to be sure the fix was permanent.
As recommended, I straightened out the hose and eliminated the coils. I also added another couple of feet and routed it up high over the tank and then even higher.
I drilled up from underneath the back left corner of the box and routed the hose up through the hollow corner support of the bed sidewall. I secured it just under the flared top flange of the bed, just below where the tonneau cover makes contact. There is a small drilled hole in the side of that corner support and any vapours seem to vent out there OK without filling the covered rear bed with the smell of gasoline.
I decided against routing the hose up into the wheel well, fearing that dirt and water could find their way back into the fuel tank.
The burping fuel problem has been eliminated and although there's a slight smell of gas at times in the garage, I guess it's to be expected with a carburetor and my dual exhaust when backing in.
Thanks again for the great advice!

Last edited by Waves2275; 06/24/2014 2:41 PM. Reason: typo