I've taped mine in the past. Here is a pretty good video on how to do it:
http://www.youtube.com/watch?v=TnbKqMHgGmc
It takes a little practice to do it on your own, so you may want to practice a couple of times before you tape up before your hike/hunt. I would suggest the heel and lace pads that he puts on with Skin Lube, but I don't use the spray can adhesive. A couple of tips:
1. When you wrap your pre-wrap, be careful not to have the sides of the pre-wrap "roll up". If you leave the edges rolled up, they likely will create a blister and be uncomfortable. Most times when that happens you can pull and tear that rolled up section off and continue the tape job.
2. When you do the stirrup, be sure to start on the inside of your leg like the video, and when you bring the stirrup under your foot, be sure to add a little (not too much) tension when you pull up and place the end of the stirrup tape on the tape anchors at the top. This tension in the tape on the outside will help with the problem you are having with the weakness between the ankle bone and bottom of your foot.
3. Just place a small amount of skin lube on the middle of the heel and lace pads about the size of a nickel. Place them like the video shows to help prevent blisters, as those areas are where your ankle flexes a lot and friction will build up at those spots from the tape and pre-wrap. The skin lube will help prevent blisters in those areas by lubricating those spots.
I bought the athletic tape, pre-wrap, skin lube, heel and lace pads from ithica sports online. I'm sure there are other places to get this stuff, but I couldn't find the heel and lace pads & skin lube easily locally - maybe you can.
http://www.ithacasports.com/
I also bought some Mueller self adhesive blister pads and luekotape, as I tend to get blisters on my heels. I place a blister pad on my heels with two overlapping strips of luekotape to keep it in place. This won't help with your ankle issues, but just thought I would throw it out for anyone that has heel blister issues.
I've used the McDavid ankle braces in college with high top cleats and they do take up some space in the shoe. You may want to bring your hunting boots to the store and try the brace on with your hunting socks and boots to see if it is too bulky, or if it works for you.
YouTube has a multitude of ankle strengthening excercises. You can work on these to help get your ankle as strong as you can up to your hunting season.