I haven't tried Procare, but I have heard it is stiffer (less stretchy) and a little more "waterproof" than regular PUL. But I had such a bad experience with Wazoodle's PUL--and their "customer service" in general--that I won't be ordering any Procare from them.
I use 2-layer PUL covers that are bound and elasticized with FOE at night for DS, because they're pretty much bulletproof. For DD, I *have* used 2-layer fleece covers at night, but she's not a heavy-all-at-once wetter. Normally she wears a 2-layer PUL cover at night too. I love fleece covers for daytime because they're so much cooler and breathable.
You can get fleece locally to use for covers. At Joann's, they call it "blizzard" fleece or "anti-pill" fleece. The anti-pill kind is a little thinner, but it doesn't pill

The blizzard kind is a little thicker, but it will get pilly over time, especially if you put the covers in the drier with cotton diapers. You can use one or two layers of either kind for a cover. You can use microfleece (if you can find it at your Joann's, some have apparently stopped carrying it) as a second layer as well. I have a bunch of covers made with a layer of regular fleece and a layer of microfleece, and they work really well and aren't as bulky as 2 full layers of regular fleece. If you want *really* nice fleece (or microfleece) that won't pill, the best stuff is made by Malden Mills--they invented polyester fleece, the stuff called Polarfleece that all the high-end outdoor clothing is made from. They have a website where you can buy it directly from them. There's a link to it in the second sticky (sorry I haven't linky-ed here, I'm not on my laptop where all my bookmarks are).
If you don't like the sticky feeling of the PUL, you'll want to line it with something. Microfleece is nice for the inner layer, or another layer of PUL (with the sticky sides facing each other). I'd suggest staying away from absorbent materials (like flannel) if you're just lining with it, because you won't be able to just "air out" the cover and use it again. If you're making pocket diapers, flannel is fine because the whole thing gets washed each time. But I think that Procare is a little different and doesn't have the sticky feeling to it, so it's just up to what you want to do with it! A 1-layer Procare cover bound with FOE should be fine. Or 2 layers of Procare (or a Procare outer and microfleece inner) done turn-and-topstitch if you want to do that style.
How many layers are you putting in your flannel fitteds? What kind of covers are you using with them now? You might just need to add a doubler at night for a little more absorbency. Both my LOs diapers are wet all the way to the cover (but not out of the cover) in the morning, I think after 10 hours sleeping without a diaper change, that's to be expected!
There are a bunch of tutorials in the first sticky, with lots of info for CD-sewing-newbies

That's a great place to start if you haven't checked it out already!