All of the suggestions that have been mentioned will probably work to lower the SWR - but will it make any real difference in your radiation? Probably not. In short runs of decent coax, any loss that is less than 1 dB means essentially no loss at all.
Again - try this first.
Just put a small inductor in parallel with the dipole at the feed point. That will raise the feedpoint closer to 50 ohms. You may have to then SHORTEN the dipole a bit (make it capacitive reactance) to keep the resonant frequency where you want it. That will cost you almost no $ to try.
This is the simple method often used to raise the feedpoint impedance of short mobile antennas used on HF.
You can wind your own inductor out of any kind of wire and try it.
The match will be better to 50 ohm coax.
But even if it works, it likely won¡¯t make MUCH difference in your situation.
Does the rig ¡°balk¡± at the load it now sees (with a 2:1) ?
de k3eui. barry