Regardless of whatever happens, would you please make sure and come back and let us know the outcome?
We would like you to get in the country for your short stay, of course. But if you don't, we might be able to help you with some next steps.
And in any case, this forum depends on data points like this to say to people, "Okay, here's what can happen. For example, back in 2014, such and such happened with so and so who was trying to do exactly what you would like to do."
So good luck. Hope it works out. And yeah, blood clots suck. As someone who's also been there, they're no fun!