Type A and C are semantics difference. A is a retrofit install to operate lamps on a ballast designed for legacy fluorescent lamp that originally populated the socket while C is a "paired system". I like to call it "AC adapter system" in which you have to use the brick that ships with the install kit.
Several manufacturers have come up with Type C. If you look in the past several years of catalog, you'll see that they're short lived, fleeting products that come and go. For this reason, I wouldn't recommend it unless it's standardized output (i.e. 24v, 12v, 0.7A etc) You'll run into... what do you do when the power brick that came with your cordless vacuum fails situation when the ballast fails. Type C exists to harness maximize efficiency by matching lamp with a proprietary ballast.
Type B is integral ballast. CFL/household LED bulb. Base-up high wattage CFL (say dual 26W PL-C downlight), it is brutal on the ballast. So, you don't find 26W integral ballast CFLs in commercial downlights. The integral ballast (be it L.E.D. or CFL) often fail prematurely in these applications.
So, PL-C downlights use an external ballast away from the lamp heat.
To match PL-L 36W, you'll need 2,900 lumens initial output, ea. I see on bulbs.com lamps that work with the ballast or direct wire, but I see they're not the same output.
I think in your case, the best bet might be trying to fit a MH/mercury vapor retrofit bulb inside the globe if you're physically able to get cram it.
