Look at how you got the queen to the inner ring. Press F4 to record a partial demo of what you've done so far, and then watch it by pressing F6. You want to achieve a similar warba-queen arrangement on the inner ring.
To summarize how the queen gets into the inner ring:
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×Beethro runs round and round the outside until he's so far ahead of the warba, you get an arrangement like this:
B
+-------------+
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Q------------W+
Moving Beethro west will trap the queen against the warba, and he'll be able get close enough to send her into the inner ring through the northern opening. You can get the warba to follow her in as well.
The challenging difference between getting the queen into the inner ring and getting her into the hot tile area:
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×Beethro's path around the outside is a *lot* longer than the warba's path around the inner ring, so it's really hard to get far enough ahead of it.
Your best chance is when it first enters the ring, before it's even gone around one corner.
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×So in the arrangement described above, where the queen gets trapped against the warba, the further east the warba is at the point of entrapment, the better.
And if you still find yourself one move short, there's one more trick you can use.
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×The warba moves every other turn. Start Beethro moving ahead on the turn the warba doesn't move.