Thanks for your response. I don't think the bioinformatics tool HMMER3 (making and using HMMs) can generate a whole shuffled genome sequence based on reading in its intact version.
But if you know of any software package that can do this, that would be good to know
About frequencies of 1 letters, 2 letters etc., REALLY good question - but I think I am happy with simple shuffling, without consideration for frequencies of 2 letters or higher order, because there is no theoretical or empirical indication that it would make a difference while assessing background signal from these shuffled sequences. But I might run that experiment in the future, for curiosity sake :)
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