The barrel channel in the choate is 1.25" so even with a 1" full bull you get 1/8" on each side of clearance and absolutely no chance of contact.
I run bull barrels, heavy varmint and even a magnum contour #5 in them and they all look great.
As far as the bedding block : It will be plenty as a stand alone bedding platform. It does not need bedded.
I did a full bedding job on one and run half a dozen without it and there is no difference.
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