Surely a jump freighter is a large deep space transport. What difference would you ask for?
Gas in hi-sec is just one less reason to not leave hi-sec. We should probably avoid it for as long as possible. And current barges getting big gas strip miners would be better than making a whole new ship for it.
Have you looked at jump freighters? Jump freighters like the Rhea (T2 Charon), which is bigger than an Orca but not as big as a Charon, would be my large hauler of choice for transportation in low and null sec.
You already realized but for confirmation: I’ve replied to the part of TNG being the last show she viewed thus I’ve recommended DS9 as many people (including myself) have high praise for it so thought would be a worthy try to see if she likes it. (So no was not implying the vid / ship is from DS9 as it is from VOY obviously.)
Edit: Btw I like VOY too but it is too flawed imo to recommend without hesitation, rather DS9 out of the newer shows. Maybe worth a try too but personally I think a better bet to recommend DS9 first and foremost. Just my personal opinion ofc.