The .270 Winchester is a wonderful general purpose cartridge, and one which I could live with happily if it were not for the .30/06. But I would drop this notion of purchasing an entry level rifle. Your .270 must be equally capable to the .270 owned by the man with a stable full of guns. Your rifle should not be chosen based on price alone. If purchased by price alone the results will prove unsatisfactory; you will be disappointed with the product and disillusioned with your ability to use it. It is better to purchase used quality than it is to purchase a new junk. Especially stay away from the rifle/scope combination deals which often combine a low priced rifle with a cheap scope and crummy rings which are doomed to failure if used in any sort of demanding environment. Certainly we must all live within our budgets, and when starting out those budgets are almost always smaller than our desires. That does not however preclude us from attaining a quality rifle, if we search out a used one. If you demand a .270 that will of course limit your options, and while it is important to get what captures your imagination I would sooner you purchase the best quality rifle you could afford in any chambering, provided it is chambered for what we have come to recognize as a moderate cartridge. I would not go smaller than 6.5 nor bigger than .30/06, but within those parameters is a huge selection of rifles.
As stated in previous posts Tradex is a wonderful source of quality used rifles available over a wide price range. My experience with them is as with others here, is that you can take their description of a rifle's condition to the bank and expect to be treated fairly and honestly. You can't ask for much more.
Decide what your budget will allow and go shopping for your rifle. The rifle should be the focus of your attention, not the sights, or slings, a gun case or loading equipment. Get the rifle first. Once its in your hands you can purchase accessories and upgrades as you can afford them. Perhaps you can't afford a good scope and rings, so instead upgrade the factory irons to a good peep sight and post and shoot with those until you can afford decent glass. Cheap scopes are never worth the cost, and the cost of a cheap scope and mounts will almost certainly cover the cost of a good combination of peep sight and post, or would go a long way towards getting you into handloading; which I consider essential for anyone who is serious about shooting. Handloading is neither dangerous or complicated once the basics are understood, but that is for another discussion.