I wanted to give folks who were having the same difficulties as we were some insight that worked perfectly for us. From the welcome letter from the Warsaw embassy, they indicate the approved medical exam locations, we chose this one. They were friendly, efficient, and explained all of the costs and what would be needed, and regularly do these medical exams for the Embassy so they know exactly what is needed.
For us this worked out very well, because of our ages, she only needed to have the X-Ray for TB test done at an offsite X-Ray place ( rentgen.pl ) no appointment necessary. So because of this, we went to get the X-Ray, they told us it would be ready in 3-4 hours. 3-4 hours later we showed back up picked up our X-Ray and then drove to the clinic.
We had the sealed envelope for our interview ready by the time we left the office. Our case was a little different because she did not need a blood or urine test. If these tests are required, it takes several days to get those results, but those tests can all be done at the same place that does the X-Ray.
Basically our plan was this:
1. Fiancée applied for Schengen visa to Hungary 4 weeks out
2. We both flew into Budapest
3. Rented a car, drove to Warsaw ( about 8 hours or so ) : NO ISSUES with BORDER CONTROL !
4. Stayed in Warsaw while waiting for our Medical Exam appointment and Visa Interview
I hope this helps and folks find this useful.
Curt