We have a bunk house and most "standard" bunkhouse mattresses will fit a regular queen size sheet, you just have to double it up. Place the sheet on top with one side within the pockets, then completely encase the mattress with the remaining sheet, bringing the remaining "pocket" to the same side that you began with. Works perfect! You can use the sheet anchors and we do use those on our bed.
I found this out because on our first trip out for the year, I grabbed what I thought was our twin mattress sheets, but were actually our queen bed sheets. I wasn't going to let them sleep on just the mattress, so I had planned to just tuck it up under the mattress, but found that it went all the way around. When the first side gets dirty (with young kids, usually a few days), I just reposition the sheet with the clean side up....double use out of one sheet.
2017 Ford F350 Crew Cab 6.7L 4x4 DRW