Better still is to get sick in Brussels.
I had a similar malady while there. Included an ear infection so couldn't fly. We went to the ER. Very pleasant and directed me to a clinic. Again, pleasant, was seen immediately, MD prescribed and sent me to a pharmacy where it was filled in record time and cost almost nothing.
Had to see MD again because airline required letter from him. Standing in the Grand Place, called him on my cell. It was 7pm. He said if I could get there right away, he would see me but that he was giving a paper on the other side of the city at 8pm. We took a cab to his office.
He unlocked the door, took us into his office, had me sit on the end of an examining table and told me 'this will be very painful and you must not move'. He then stuck an instrument in my ear. I told him it tickled and said, 'yes, he knew that but if he had told me it would tickle, I might not have been completely still.
Nice guy. Wrote the letter and then called a cab for us. Doctors there have first priority for cabs so it arrived straight away. While we waited, we asked him if he knew of a good Indian restaurant. He did and went out to the street to tell the cabby the address of the restaurant.
I had to fill another scrip so stopped where the doctor had told the cabby to go. He waited the less than 5 mins it took and then took us to dinner.
The entire cost of two dr visits, including the clinic, two scrips and two OTC remedies was less that $130.
On the same trip, a friend had a sudden tooth infection, was seen the same day by an emergency dental clinic and also had a very low cost.
Our friends in both Brussels and Paris say we're crazy to put up with US medicine.
They're right.