Manwinc hit the nail on the head with the process above.
This got me curious, so I went to test center to see what can be done. I crafted 40 woodland gorgets and started reforging.
Looks to me like you will have 2 ways of going about doing what you are after there. You can use the vitality name looking for the 5 strength mod and crossing your fingers for the other 2 items to show up. This uses 4 charges per reforge, so I hope you have a nice stockpile of runic saws or whatever you decide to use.
The other option would be to not use names at all. Just powerful reforge the items and hope you get the 3 properties you want. Only uses 2 charges per reforge there, so you'd get a lot more chances that route.
With a whole lot of luck, it would be possible to make a piece with 5 strength, 150 luck, and 5 hci(10 if you really want to try to enhance with heartwood).
Pic attached is as close as I got during my run of 40 pieces.