of Hafs is similar to the (breathless pause) read by Khalaf `an Hamzah from Ash-Shatibiyy (as opposed to Khallad, which is more like Hafs's  ) I believe, but what are the particular rules for it? I've been looking through the various turuq of Hafs `an `Aasim, and would like to know a little more about  from (the way) .  I'm interested because of the .  I suppose Rawdhah Al-Maalikee is nearly identical.

Jazakumullahu khair for all your efforts, they're marvelous.

Wa alaikum assalaam wa rahmatullahi wa barakatuh,
Actually neither the of Khalaf ‘an Hamzah nor that of Khallaad ‘an Hamzah are like . The of Khalaf ‘an Hamzah has a required (breathless pause) on the words in any of its forms (fathah, dhammah, kasrah) and the   of   before a hamzah, such as in , and there is an allowed as one of two allowed ways of reading when there is a saakin at the end of a word, as long as it isn’t a medd letter and a hamzah as the first letter of the next word, such as in: . This is similar to .
The rules of the sakt for Khalaf and Khallaad ‘an Hamzah have been laid out in a previous question and answer. Please see: , we apologize that the links are not working right now, so you will have to copy the link and pasted it in your browser.

The of Hafs ‘an ‘Aasim min tareeq at-Tayyibah includes all of the  saktaat in the way of plus it has a sakt if there is a saakin before a hamzah within one word, such as the letter in the  word:  . Please see for the details of the sakt ‘aam and khaas for Hafs ‘an ‘Aasim:

The reading of Khalaf ‘an Hamzah does not include a saakin before a hamzah within a word.
There is an allowed way of reading (one of two allowed ways) of Idrees ‘an Khalaf in the ten qira’aat that is like of Hafs, but not Khalaf ‘an Hamzah.
You are correct, the specifics for in and Radhwah al-Maalikee are almost identical, the only difference being in the word in surah An-Naml aayah 36. When stopping, the way outlined in Rawdhah establishes the and the way outlined in   eliminates the .

wrote (died 450 h). read to Abu-l-Hasan Al-Hammaamee (died 417 h), he read to Abu Taahir bin Abee Haashim (died 340 h). Abu Taahir read to Abu Abbas Al-Ushnanee (died 307 h), who read to ‘Ubayd bin As-Sabbaah (died 230 h), who read to Hafs bin Sulaymaan (died 180 h), who read to ‘Aasim bin Abee An-Najood (died 127 h).

For more information about this tareeq refer to An-Nashr by Imam ibn Al-Jazaree, Sareeh An-Nass by Ash-Sheikh , may Allah be merciful to them all, and As-Silaasil adh-Dhahabiyyah bil-Asaaneed An-Nashr by Ash-Sheikh Ayman Swayd, may Allah preserve him.

Wa iyyaaakum and may Allah reward you for the helpful hint you gave us.
Wa assalaam