I've never tired stropping a razor cartridge. But my wife has a razor comb she uses to cut her hair, and I did sharpen that sucker up with my stops and it works better then ever.
I have really heavy thick coarse facial hair and currently I use a two blade disposable razor. I try and shave about 3-4 times a week but sometimes it's just on Sundays. About 3 years ago I bought a 50 pack of the 2 blade razors from costco and I haven't run out!
I'd really like to start using a DE razor, but as long as I have these dumb 2 blade razors I can't really justify the switch. I do however use coconut soap to lather with, which is great, I'll never go back to the can. I tried the brush and it didn't seem to make a difference. So I just use my hands now. The shave I get (even with the cheap two blade razors) is great. I also use an after shave lotion made by Nivea (SP?) and I don't tend to get ingrown hairs and razor burn like I used to (when using lectric shave).
I'm pretty happy, but I think I'd be even happier if I used a single razor blade. I do still get pretty bad razor burn if I don't use the lotion, so I know I'm doing something wrong (or my face sucks) but for now I can't just throw out all my razors and switch. Hopefully I'll be able to in the next few years....
Another thing, I read an article about cold shaving a couple of weeks ago and I tried it. It works great! My face doesn't burn after my shave and I have no irritation all day long. Even with a 4 day beard! It's truly amazing. It is a little harder to get a good lather up, but it doesn't seem to matter much. For instance, yesterday I didn't get to take a hot shower before my shave, but I went ahead with the cold shave anyway, I had a 4 day beard. And even with the cold shave, sort of dry lather, long beard and a two blade disposable I still got a nice clean shave with no irritation. We will see how I feel about it this winter though. Cold showers and cold shaving are great in the summer, but when it's 5 degrees outside I don't know how much I'll like it.