You will get a bunch of normal leopard geckos which will be het for blizzard. Some will have lots of probably tiny speckles, some will have fewer and possibly some will have no spotting. The color will range from yellow-ish to orange-ish. I'm happy to supply the information, but I also feel strongly that an important component of breeding leopard geckos is to know beforehand what the possible outcomes will be and, more importantly, why. I'll assume you're doing the initial research and will go on to figure out why they'll come out that way (check out "blizzard" and "super hypo tangerine" on leopardgeckowiki.com).
Is there anything I could breed with my blazing blizzard that wouldn't produce another blizzard or a normal?
I'm not actually going to breed yet, I'm just wondering.
If the blazing blizzard really is albino, then you will get albinos if you breed to another of the same albino strain. If you breed it to a Mack snow, some of the babies will be Mack snows.
Aliza gave the best advice...research your genetics. If you don't know what they are or modes of inheritance...how will you identify babies? Breeding leopard geckos is easy, but should not be done just because you have the ability to.
To breed those two is not a good idea. Here's the morph calculator. If you only have those two geckos and want to breed something else than Normals het Blizzard, you could get a Tremper Albino if your Blizzard is het Tremper, and make Trempers. (You need to know the hets; "proving them out" involves lots of unwanted babies you need to find a market for!). Or, just get another Tang and pair with the Tang.
Before you start breeding, do a lot of research, learn a bit about genetics, and most of all, make sure you have a market (or friends who take them!) for all the babies!