Hello,
If you absolutely want to record the vertical component (Z), the Core Sound should be only one for your budget. I guess it can be too noisy sometimes (because of the tiny size of the capsules).
But if WXY is sufficient, you can record to "horizontal B-Format" with 3 coincident microphones (one omni and two fig-8 microphones).
Alternatively, Double M/S (two cardioids + one fig-8) or Front-Left-Right-Back (4 cardioids) coincident recordings can be converted easily to horizontal B-Format.
In any case, both the omnis and the fig-8s should be single-diaphragm designs. Moreover, they should be small enough in order to get an acceptable coincidence. It is therefore quite difficult to find the right figure-of-eight microphone. Maybe a Beyerdynamic M 130, as 0VU recommended on this forum.
The 500-euro Line Audio QM12i can be used as a Front-Left-Right-Back microphone but I never tried it. There could be too much space between its capsules so you may want to calibrate them, like you do with the A-Format microphones (see Angelo Farina, "A-Format to B-Format conversion":
http://pcfarina.eng.unipr.it/Public/B-format/A2B-conversion/A2B.htm).
You can have a look at these pages too:
http://www.radio.uqam.ca/ambisonic/http://www.radio.uqam.ca/ambisonic/native_b.html
The only B-Format microphones I have used in practice are the Soundfield ST350, the Schoeps CCM Double M/S and a native horizontal B-Format array made of Schoeps CCMs. I used these microphones when testing some B-Format decoders I was programming at that moment. But I don't own any of them! (I am trying to find some "multi-purpose" fig-8s that I could use as part as a coincident surround array sometimes).
All the best,
-j