OP,
I began hunting big game with a single shot 20ga shotgun. Next season, I bought a .303 rifle built in 1898. It was definitely a hunting rifle and gave me 2.5" groups with peep sights. I used that for 10 years, then started building up a small collection of mil-surp rifles I hunted with. Eventually, my kids moved out and I started to get a few dollars ahead. I wanted a "factory" rifle, but, like you, my budget was quite tight. I traded some stuff for a Mossberg 100 ATR in .30-06 (I know, people are gonna kick at that one) which has served me better than an M77Ruger I bought since just for the scope. It cost me $350 for the scoped package 8 years ago. I don't know of anyone having them in stock still, but it shoots 5/8" groups at 100 yds with handloads. There is nothing I have found wrong with that rifle.
That being said, when my wife was considering hunting, she dropped her first deer with an SKS. I then bought her a Savage 11 package in .243, youth model. I am so impressed with that rifle that I just bought another for me this spring in '06 with the laminate thumb hole stock.
I like this rifle so much (the 11/111 package on sale right now at Calela's
http://www.cabelas.ca/cart) that I think you would like it, too. Also, I thinks the Axis is crap and I'm a guy that doesn't feel the need to over spend on fashion over function, but that rifle sucks. I'd rather a Ruger American.
I truly understand tight budgets and you have struck a chord reminding me of my youth and people helping me out and I feel so strongly about you not sticking yourself with an Axis and getting into a 111 in whatever that I am willing to make you an offer. I don't know your postal code , but ON has taxes, so I figured the cost to your door on this rifle at about $700.00 which is about 1/2 again what your budget is.
Here's my offer: more of a challenge, because I'm not made of money. I will email you $100 toward that purchase. You need to come up with another $100.
Here's the challenge part: anybody on gunnutz willing to match that? Anybody willing to
REALLY help out a newbie. Lots of talk about what he should get instead of an axis, so...
ETA: no, I'm not doing this every day. I just happen to have sold a truck last night and have some free cash today. I can't think of a better way to spend it than helping someone out.