The Ibrox outfit begin their SPL campaign on August 9 at Falkirk, one of four teams which have so far refused to accept the planned five-percent charge.
Bain, who also announced record season-ticket sales and plans to improve Ibrox, is unrepentant over Rangers' and Celtic's stance.
Travelling in numbers: Rangers fans at the City of Manchester Stadium for the UEFA Cup final
'It is incredulous that, despite our attempts to explain this rationally to other clubs, some of them continue to refuse to accept our approach,' he said.
'Rangers supporters travel the length and breadth of the country, often paying premium prices for grounds which are often found lacking in their facilities.
'This is about our fans. I feel they more than pay their way in Scottish football and we want to alleviate some of the financial pressure.
'I am also disappointed at the other clubs' lack of understanding of our continual efforts to make it as easy as possible to distribute their tickets with minimal cost and effort on their behalf.
'We help to maximise ticket sales for SPL away grounds, to the region of £2.5million, but accept that this comes at a cost, hence our proposal.
'This would allow us to remove the costs currently borne by our fans.'
Bain hopes the clubs now selling tickets to Old Firm fans directly will enforce strict monitoring of purchasers by recording names and addresses.
The chief executive insisted efforts were continuing to strengthen Walter Smith's squad after revealing Rangers were on course to pull in a record 44,000 season-ticket holders.
Bain is also confident the new Ibrox playing surface will stand up to the rigours of a full season and revealed new LED advertising and scoreboards will be installed at the ground.
TV fans boxed out
Rangers fans are facing a TV blackout for tonight’s Champions League showdown
with Kaunas. Armchair supporters won’t be able to watch the second qualifying
round match against the Lithuanian champions, with the Ibrox side preferring to try to
increase slow ticket sales.
A BBC Scotland spokesman said: ‘We did put in a bid to show the match, but it wasn’t accepted.’
Setanta and Sky are showing friendlies involving Sunderland and Liverpool, respectively.
-
London gets ready for the Diamond Jubilee - in pictures
-
EXCLUSIVE: I won't play with Joey Barton, says Adel Taarabt
-
Diamond Jubilee: Boat by boat, here is where to watch the Queen's Thames flotilla - VIDEO
-
Duchess of Cambridge is pretty in pink at her first Buckingham Palace garden party
-
News pictures of the day
-
‘We will form a human barricade to keep missiles off our homes’
-
Regent’s Park rapist: Teenage jogger assaulted by stranger in terrifying 7am attack -
Major Coalition u-turn as George Osborne scraps ANOTHER tax plan
-
Horror on the 5.53! Commuter dragged 200 feet after getting hand trapped on train -
Hunt-ed: Labour pile on pressure for Culture Secretary
Why I think doctors are right to strike 
Family pay tribute to the London man who gave his life to save a five-year-old girl from drowning 
Eton schoolboys fly Games flag on Everest 
Shrimpy's - review 
The O2
Check out the cool stuff happening under our tent such as the hottest gigs, comedy, sport, films, clubs, bars, restaurants and much more.
A home to be proud of with Halifax
Download the Halifax's brilliant, free new Home Finder app, and take all the pain out of finding your dream home.
Can you imagine a career in teaching?
Be inspired to teach - let real teachers show you how rewarding the job can be.
Playing a game-changing role during the Games
Cisco is providing the solutions for London 2012's complex IT needs.
Win a Silverstone track day with Zantac 75
Feel the burn of a different kind - 20 Silverstone motoring experiences to be won
Celebrate with MARTINI®
This weekend toast one royal with another and make your Jubilee sparkle with a MARTINI Royale.
Rock star
Happy anniversary
Victoria Coren
Summer party
Diamond Jubilee
Glamour Awards
Garden party
First review
Fair-weather goths
Dog save the Queen
