How far into the batch are you? Have you mixed the oil & lye yet and reached a decent trace? If so don't worry at all. You can just put the lid on your crockpot and let it sit overnight then zap test in the morning. I think this would work even if you used all water to dilute the lye instead of a glycerin/water mix.
You can prob still make it work even if you haven't blended the oil/lye to trace yet. If you have a stainless or silicone whisk, you might be able to use this as an alternative to the stick blender if you have patience and enough arm muscles
When I make liquid soap, I use equal amounts water & KOH then add 2x the water amount in glycerin. I add this mixture to the oils melted in a crockpot and stickblend to trace then switch to a silicone whisk. Usually it goes pretty quickly from whisk-able to stiff vaseline that needs to be stirred with a heavy duty spoon. At that point I turn off the crock pot and let it sit overnight to finish saponifying.
I couldn't handle the SB so I wound up leaving it and did some internet stuff. I waltzed back around 8:30pm, saw that the soap was very thick, tried to SB again for a minute or two before I went to get a spatula. I had the soap in my crockpot so it finally got to partial paste (or paste can't tell yet) around 8:45pm. I started this around 7:45pm so I'm glad I got a nice break in between. Anyway, I have this bad boy in the closet, where it will be undisturbed until noon tomorrow.
I did not use any glycerine but with my soapy luck, i probably would have been done much sooner.
Liquid soap is pretty forgiving when it comes to stick blending. You just need to get it to full emulsification before covering it and walking away. It will become soap all by itself. I learned this by having an emergency issue to deal with while making soap.