Hmmm. 6 meters is so far from the other bands in frequency it sort of just gums things up to include it on a multi-band antenna. Just throw up a do-it-ourself dipole for 6 meters...it's only 4-1/2 feet of wire on either side of balun. I'd go to The Wireman
https://thewireman.com/ and buy the components.
The best antenna I've had is a vertical loop fed on the side with 450 ohm ladder (window) line. Get that from The Wireman too. It's about 73-75' of wire in a circle. I use insulated ~12-14 gauge wire and string it in trees. The loop doesn't have the noise and it does have gain...in this configuration it's fairly omnidirectional. And...here's the big deal....the bottom of it only needs to be a few feet from the ground...mine was about 4' off the ground. If you feed it from the side you get vertical polarity and a low radiation angle.
Here's the kicker on that loop....get an antenna tuner. I have an AT4K that I can bring in a string of ladder line. Doing that I have tuned that 20 meter loop for 75 meters, 40 meters, 20 of course, 17, 15 and 10 meters. You have to play with the tuner a bit but it worked for me. There's less of a null on the sides of the loop than a dipole.
There's essentially no loss with ladder line. You have to keep it away from metal and the ground but it works. And the key of it is that at high SWR's there can be a ton of loss in your transmission through coax (when you tune a non-resonant antenna) but not so with ladder line. Resonant is great...but being non-resonant does not mean that nearly as much energy isn't transmitted into signal just because it is non-resonant. High SWR's and non-resonance is OK...better than coax and coils that suck the power away.
I have some links/files back home I can send you when I get back there next week and some great links. The Villages retirement community has some great information....maybe I sent Pathfinder the links. But they have a great rollup page on antenna pro's and con's. There is also a powerpoint on trimming an antenna and ladder line to specific lengths that give multipband capabilities...I made a couple they worked great...I gotta find it thoug.
For now peruse this one on loops:
http://www.ve2azx.net/technical/AntenneLoop21MHz-3EN.pdf