A bipod does not belong near the hinge, it makes the whole system wobbly with very poor weight distribution. If your gun shoots better supported at the hinge, then you better bed the fore arm so you can mount the bipod on the front sling stud.
I use both my Handi's with a bipod sometimes and have no accuracy problems having the bipod at the front stud.
A bipod at the hinge is perhaps the worse place you can put one.
See my web pages how to bed a fore arm on a Handi.