I do not know about Avons, but have heard they are not super in the rain (don't think this was the AM26 though, maybe the 22-23).
BT45s are excellent in the rain and in the dry. I have done some wet twisty riding on a BT45 shod RZ, no slips. Only got about 4000km from a rear tire though. I would think your 250 will be easier on tires than my RZ350 was.
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