I also suffer with a thick, fast-growing facial hair. I have gone through many cycles of using electic shavers and switching back to disposable blades. The lesson I've learned is don't buy cheap razors. I tried a cheap Remmington, Panasonic wet/dry, and a another knock-off brand along the way but always went back to blades due to being disappointed. I finally treated myself to a Norelco Quadra-action model about 3 Christmas' ago and I have been using it regularly since. I don't think it's so much the rotary vs linear action that is the difference as much as the fact I finally bought something engineered to work and last. Plan to pay over $100, more money typically equates to better razor.
Tips for use: 1. Make sure to replace cutter heads like the directions tell you to, they don't stay sharp forever. 2. If it uses nickel-cadmium batteries, try to run it dead before plugging it in for recharging (mine can be used while plugged in and charging). The batteries will develop a memory and fail if you recharge every day, I'm still going strong on original batteries. 3. Use some kind of lubricant for your face. Dry talc or shaving powder works, but collects inside the razor. I use Afta pre-shave lotion and get a closer shave and no skin irratation with it. I will shave dry on days when I don't really need a close shave.