I haven't been involved with a shave club, but quit buying cartridge razors going on 6 yrs ago. I ran into a website called Badger and Blade. They are geared towards shaving in general, but overall "prefer" the old school method.
I shave (primarily) with a straight razor now, but in the beginning started (as did pigmypuncher) with a Gillette Slim Adjustable DE razor. I still use it if time is a factor, as no one would recommend whipping a straight razor around the neckline to save time.
It's certainly not for everyone, and with the straight's there's a learning curve. That Gillette works great, and if you have some antique stores near you....might get lucky and find one like I did for 5 bucks.
The Badger and Blade has an EE as well, where you can find some nice DE razors for a decent price if you want to get your feet wet.