As everyone suggests, test whatever you can. Most research says including shipping at a higher product price tests better.
Having said that, I think you have to evaluate this in the context of what you actually want to sell. Are you really trying to sell single bottles of honey or multi-packs? Your question and the onsite merchandising makes it look like the focus is single bottles (your multi-packs are tiny images of generic kraft boxes - nowhere close to the branding of the individual bottles).
If indeed your goal is to upsell to multi-packs then that'd argue for incorporating shipping into the single bottle price as it makes the discount for multiple units that much more obvious.