The 7 Xcel LX is really 6.5mm so that might be your best bet. The 7 Luminos is about 6.6mm and 82 AFOV instead of 60. Coma means that extra field won't be completely sharp, but still some value there. Understand that the Xcel LX and Luminos series are like most affordable eyepiece series. They aren't consistent. They have some winners in certain focal lengths while other focal lengths are disappointing. If you buy $300 Televues you don't need to research reviews. Anything you buy will be excellent. But at the $100 range, series are inconsistent, so it helps to do your research and mix and match the winners of one series with the winners of another series. But at this focal length, the Xcel LX and Luminos are both well regarded.
6mm is a fairly rare focal length. 5 or 7 are more common. If you want precisely 6mm, your options will be quite limited. The Delos would be top notch but way over your budget. The Ethos, much more over your budget. 6mm eyepieces either cost under $30 or over $300. There is no in-between. Closer to 5mm or 7mm you can get some intermediate options.
If you can stretch your budget just a bit, you can get a Skyrover 30mm 70 AFOV for around $160 for your low power eyepiece. It is a 2" eyepiece, but a 1.25" 30-32mm would only be 50 AFOV. If you want 60-80 AFOV at 30+mm, it will have to be 2" format.
I'm not sure how much the BHZ would help you. It doesn't go low power, wide field enough, nor can it go down to 6mm. It could do a reasonable job filling in between the 30+mm and the 6mm, but it doesn't address either of your current goals. Note that it tops out at about 68 AFOV and is under 60 AFOV through most of its range, so if you want 60-80 AFOV, then you probably don't want a zoom. Although the Leica zoom is 60-80 AFOV. It just costs more than your scope.
