There does not seem to be a MAXxxx equivalent of radio.begin(). If there was I would suggest this style of code (just pseudo code with a lot missing)
void loop() {
max.begin();
readMax();
radio.begin();
radioWrite();
}
If you study the code for the two libraries I suspect you will be able to modify one or the other for compatibility. Unfortunately library writers seldom take any interest in other library writers.
...R