Casey,
I was recently coaching a beginner. We tried my Windcutter 7/8/9 on his 8/9 rod, and the line was too light. That line is excellent on 7/8 rods. So go up a size. I haven't tried an Allbright, but for your intended uses, a Scandi or AFS-type line of 40-some feet, either with integral running line or an interchangeable head/shooting line, would probably cover most bases.
More generally: With a floating line, in its normal configuration: tapering to a small, "dry fly-sized" tip, you use a leader about as long as your rod for floating flies and wet flies a little under the surface. You can use poly leaders off that tip, but only up to around 40-50 grains. That light tip just won't turn over normal sink tips.
Spey anglers have been cutting back floating lines, adding a loop, and using these lines as good multi tip lines for a long while. (Save the floating tip and add a braided loop to its back end.) If you cut it back to around .055," it will handle moderate tips; .065" or heavier will turn over most any tip. Factory multi-tip spey lines are the same thing, and they are quite versatile and practical, too. With sink tips, short (3 - 6') leaders are called for, depending on water clarity.
Spey rods are definitely line-critical. Many a spey rookie thinks that his rod is wanting, when all it needs is a line that fits it better. (Like hiking boots, when you think about it.) Beginners often do better with heavier lines, to feel the rod's action. In a few years, a slightly lighter line may feel like perfection. Do everything you can to beg and borrow other spey lines during your learning phase. Otherwise, you can go through $hundreds in persuit of a good fit. Generally, the preferred length of belly (very short, short, midbelly, long belly) will depend on your rod's length, with some weighting for individual preferences.