Couple of points..
1. MFJ Magloop will outperform the Hamstick hands down, and won't need a ground radial. I have a Hamstick pair for every amateur band and they have not ever outperformed the magloop, or a SuperAntenna MP-1.
2. You have a privacy fence around the property. Use it.
In my backyard, for stealthy operation, I have the MFJ 1786, and a random wire of 120'. The wire is strung along the very top of the privacy fence and fed with a 9:1 unun.
I just recently moved here, and just got my HF station more or less set up., and the results with these antennas is no horrible. DX distance is Spain, EA7JWF on the magloop, and a lot of NVIS sort of contacts on the wire on 75m and 40m.
The wire is, as I mentioned, strung along the top of the fence. There is a chicken wire component..... There is a 24" wide chicken wire along the bottom of the fence, with 12" above ground and 12" covered in river rock and dirt. I silver soldered the ground to the chicken wire in several points and all sems to be working. This weekend I'm putting on a LDG RT-100 tuner to the wire to see if it makes any difference.