Queen’s need 12 points from their remaining five games to clinch promotion to Division Two.
The free-scoring students passed the 400 points mark with seven tries against Rainey at the Dub in a 44-0 victory.
Queen’s are a point behind leaders Midleton with a game in hand which they play on Saturday away at Carlow.
More importantly they are eight points clear of third place Banbridge, who have also played a game less.
Queen’s director of rugby of Robbie Moore was delighted with the performance at both ends of the pitch against Rainey as the students kept a second consecutive clean sheet.
“We’re very satisfied to get five points and I would have been happy to get four. Rainey folded a bit in the last 20 minutes and we ran in a few tries,” said Moore.
“Our defence has been very good and it has been bolstered by Jonny Bell. We work hard on defence during the week in training and keeping clean sheets is very important. We scored nine tries last week, seven this week and it’s good rugby to watch.”
Tries from centre Matthew Arneill and flanker Gareth Hooks helped the students to a 15-0 lead at the interval before they cut loose in the second half.
Stuart Campbell scored two tries in a nine-minute spell to wrap up the bonus point.
Captain Mark Robinson and winger Richard Mayne added further tries before Campbell sealed his hat trick in injury time.
Banbridge lost ground on the leaders by failing to gain a bonus point in their home victory over Portadown.
The Rifle Park club secured their 23-12 win right in the last minute which denied Portadown a valuable bonus point.
Hika Reid’s side are now in the playoff relegation zone two points adrift of Naas in 14th place.
Instonians had a 27-13 victory over Ards at Shaw’s Bridge.
Flanker David Bradford got the first try for Inst and hooker Steven Douglas went over before the break. Adam Telford added a third try in the second half while Ken Heaslip got Ards’ touchdown.