I suppose the nicotine in an e-cig may help. You may still have an adjustment period, I don't know a ton about the topic, to be honest.
With the way you smoke (to go, period) I'd agree on maybe starting with a Juul as it does have a high nic content and it's expensive, but you are really just smoking for the nicotine effect, a few times a day. IDK that it will work, if it may take some TIME for your body to adjust and all that, but I see no harm in trying. You may get lucky, and at worst if you don't, you may have a few days of constipation (although IDK, it might be better to try a bit longer to give your body time to adjust, etc.
The bonus on it working would be you'd have reduced your harm substantially. If not, well you do know what WORKS for your condition, although it's unfortunate that it's cigarettes.
I'd probably try under supervision and with the blessing of your gastroenterologist along with a "constipation rescue" plan or something, but I'd guess the odds would be 50/50.
I do ah, struggle in that area although it's not really a diagnosis, I will say I had no issues as I switched over to vaping.
You might try Whole Tobacco Alkaloid juices, that might give you some of the minor alkaloids that are found in tobacco and assist with many things, including "going." It's more expensive, but it might offer MORE of what you need, still harm reduction as it is not being combusted. Good makers include Aroma ejuice, (priciest, but gold standard) and./or Umbavapes/Ohm's Juices. They are less expensive, I still found them useful, although I have to say it's not really a fair comparison as I used Aroma in the throes of quitting. It did help a lot..
I do wonder if that would give you a more "tobacco" like experience an help you "go," so to speak. If it were me, I would try WTA, if straight nicotine doesn't help.
I wish you the best of luck!
Anna