I have no easy way to solve it for you because I would have to go over all the things to try getting a match.
Bottom line here is half the system is out of limits so far you can't get the match accounted for by simple adjustments.
You might try different lengths of add-on coax trying to find an impedance point that is close to a 50 ohm match for the radio.
Said another way, in a large mismatch condition the "reflected" impedance along the transmission line changes with distance along the line.
If you arrive at the right length, a match will appear to work.
The reason this happens is the mismatch at the antenna reflects voltage and currents out of phase.
The results of this is the voltage and current will be different along the line.
Finding the length that offers 50 ohm from that combination point will provide a match your looking for.
When you use this trick to find a match, it makes the match narrow banded because it's now "frequency sensitive" to changes in physical length because the phase changes with frequency along the line.
This is the major reason to get the antenna to match the feedline if at all possible then the feedline length has little effect because it's at the correct impedance to start with all along it's length.
Tuning the system by feedline length is only providing the radio the impedance it was designed to work into and does not solve the original mismatch issue.
Another reason to have the whole system in match is the high SWR on the feedline increases the losses because every time power is reflected either way the loss in the line is added to the total.
This also can cause a funny thing to happen with a power meter in that the meter can show more power than the radio is outputting because the 'vector sum' of the currents and voltage add making the meter read higher since the meter does not know any difference, only what it detects.
For example is if a coax has 2 db loss under matched conditions the loss will be higher under mismatched conditions from the way is has to work in that condition.
Let us know how you make out.
Good luck.