Basing a design on a given available core does not need the calculations that a production inductor would need.
The inductor does not have to be optimized using Hanna curves etc which is needed for production as the inductors are the major cost.
For hobby, I do similar DC inductors based on surplus NOS cores, just using a simple spreadsheet.
Here is a scrot of the spreadsheet for a hand wound DC filter inductor for a DC~DC converter 250 Volt 1.2 Amp that is presently on breadboard here.
https://app.box.com/s/a0o4xt1nhovh3wh84ljbz5q2qmrj01ioThe choke on test:
https://app.box.com/s/deaoghhngiapjlrv2tpxxtme87suhykeThe calculation uses approximations:
-Core reluctance is negligible
-Fringing factor is a guess at 1.2 based on experience.
-The DC operating position is down from the rollover into saturation, so the a L measurement at signal generator level,
will still be fairly close to the incremental inductance at operating DC level.
-Conductor size is selected to be conservative by experience, avoiding the need for thermal calcs.
For your specific query about references for ferrite design, I would always recommend the old book by Snelling.
Member TimNJ kindly put up a link, on the ferrite gapping thread, to a non-pay copy here:
https://ia803405.us.archive.org/1/items/SNELLING__SOFT-FERRITES__1969/SNELLING__SOFT-FERRITES__1969.pdfHanna DC choke curves Page 85 on,
Inductor design Page 193