My Bushnell Banner Dusk to Dawn 1.5-4.5x32mm 71-1545 has 4" of eye relief according to my Bushnell Book. I have had it kiss the eye brow a couple times with heavy loads and more then a couple times give my hat a good shove. I have it on a Black Diamond XR which I think is a heavier rifle then your Omega.
The 3.4" would be all right if you never failed to loose attention of your stance and hold on the rifle. I think the first time on the range you forget, that scope will give you a reminder that you're not going to like.
Have you tried
http://www.natchezss.com./ Natchez Shooters Supply? I have their catalog for the month and the Bushnell are on sale for $63.95 . Usually is they have it in the catalog they have it in stock and they are a great place to do business with. Also
http://www.dnrsports.net/miva/merchant.mv?Screen=CTGY&Store_Code=DSC&Cat egory_Code=muzzleloadersD&R Sports usually have a good inventory of Bushnell Products. Or if you have questions you can call Bushnell at 1-800-423-3537 and they will be more then glad to answer your questions. Ask for Diana. She's a great person and really knows her stuff. If you don't like the phone route, go to
http://bushnelloutdoors.ibforums.com/index.php?and Bushnell has a forum where they are more then glad to answer all your optic questions....