My take is slightly different.
If you can find a Carib school to take you (which I expect you can), then your chance of graduating is actually quite good. The failures in the carib schools are almost always in the preclinical curriculum, once you're through S1 and into clinicals I expect the grad rate is close to 100%. Seems unlikely you'd have troubles with S2.
As mentioned above, your choices of field will be much more limited. FM/IM/Peds is common. Path and Neuro also. Some carib grads do end up in Anesthesia, or Surgery, but those are much more difficult to get.
The big issue is the reason you were dismissed from your US school. You will have to disclose this on your application to residency, and on your state license applications. Depending upon the infraction, programs may not consider you at all. Professionalism issues tend to fall into three categories:
1. Illegal behavior. This could include stealing, substance use, fraud, etc.
2. Interpersonal issues. This includes poor communication with nursing and physicians and patients, can include getting into arguments, or "being disrespectful", or otherwise generating lots of complaints. Lying falls somewhere between #1 and #2.
3. Paperwork / process issues. This can include not turning in assignments, not completing required logs, not doing onboarding modules. Also includes just not showing up for work.
If your issues fall into #1, even if no actual charges are being filed, then I am concerned that you will be toast when you apply.
If your issues fall into #2 or #3, it's impossible to know what will happen. These types of problems tend to be chronic. They are bad habits, and they are hard to break. Programs may be concerned that you will continue to have similar issues -- not logging duty hours, or problems with nurses, etc. You can hope that clinical time while in school again will give you a clean slate -- but it will only be one year by the time you're applying, and programs may not be mollified.
Perhaps most important is whether you have "fixed" whatever the problem is. Chances are that your school gave you warnings before termination (although not always). If so, you didn't make enough of a change to continue. What's to stop the same thing from happening again? You may argue that you've "learned your lesson" given the severity of the outcome, but if it takes that harsh of an outcome to get you to actually seriously make a change, is that the kind of person we would want to hire?
So I think you first need to be honest with yourself about how you got yourself into this position. I'm worried that addressing the underlying issues make take some time. All medical schools are going to get concerned if you start taking long breaks -- although a 1 year break is probably acceptable. You will need to restart your MS3 from the beginning.