Dont know how to remove the heat exchanger, but high pressure air can bend the fins to smitherenes. Just so you know. I prefer to use low pressure water from a garden hose with a smaller, more flexible hose on the end. If you can use hot, soapy water, then that is ideal, but a pressure washer will be even worse than high pressure air on the fins.
shine a light through the heat exchanger(s). That will show you if it/they are indeed clean. You should be able to see through several rads at the same time.
make sure you wait for the rads to drain out pretty thoroughly before you start the tractor or the belt(s) will get water on them and slip badly. Make sure the rads are THOROUGHLY dry before you do any work with it or they will plug up with dust BADLY. Perhaps that is what happened to yours as you mentioned you "washed" the rads. I've done exactly that in the past..
The heat exchangers will dry thoroughly reasonably quickly when the tractor is running, stationary in clean air AFTER they self drain. Better to leave it overnight facing into a warm wind after running it for a while.
ps, you don't necessarily need to access the back of the heat exchanger. You can push everything through several rads over some time with a flexible, low pressure garden hose set-up.
oh, and if you have no way of using soapy water through the garden hose, then just spray the rads with soapy water from a spray bottle.
this is the most thorough way to clean rads, but it takes time. The last time I did it, it took a couple of hours to get all of my stack of 3 (4?) rads almost perfectly clean. It would have taken more time to get them perfect. My little makeshift hose will push water straight through the whole rad stack and out the other side with NO fin damage. That's when you know they are clean, when the water gushes through the whole works everywhere as you do every single row/course one by one.