There are quite a few experts on this site for Bromoil. I don’t claim to be one of them, but will add a few points that may be of help. Firstly, there are probably as many ways of doing this process as there are people practicing it. There are also near comparisons to this and the lithographic printing processes and to that end I use lithographic printing ink (works well).
With regards to soaking, the temperature of the water is very important, as it controls the swelling of the emulsion. Try about 21 to 24°F and if the ink is lifting too easily, are your previous processes working ok. What is your formulation for bleach/tanning? Single or multiple baths? Don’t use blotting paper, just let it dry naturally.