You will be happy with the performance of the loop once you get the line issues straightened out.
You already have the right idea with the 450 Ohm balanced line. I always wondered why more CB operators don't use this stuff. The loss per hundred feet is around 4 times less than LMR400 and cheaper too.
If your the DIY type you can make a 4:1 balun from coax which costs almost nothing, at it's output connect the 1/4 wave length 300 twin lead to the 450. Measure the length of the 450 to be a multiple of a 1/2 wave on 11meters and parallel 1/4 for a perfect match to your quad.
Its possible to do the same thing at the other end if you wanted to use 450 ohm line for a long, low-loss run. Simply use another 1/4 wave length of 300 ohm and input that in to another 4:1 coaxial to get back to 50ohms unbalanced at the antenna end.
This setup requires no tuner, is mono banded, tuned, very low loss, and helps in suppression of RFI.
I hope you get it working, you will never want to use coax again!
Cheers
CBPhreaker