non-counter tips
I am not a counter either, basic strategy brings me close enough to the house edge so that I can keep my bankroll under control. my comp rate is almost exactly breakeven with theoretical loss (based on 60 hands/hr, 20% flat bet comp, house EV 0.3-0.4%). then top that with free rooms, meals, bounceback cash and miscellaneous schwag.
the best book you can read after mastering basic strategy (but before counting) is probably Blackjack Bluebook II by Fred Renzey. He writes exclusive chapters on borderline topics such as single deck insurance, composition sensitive variations on 16 v. T , 12 v. 4 and the 'magnificent 7'. The best weapon for non-counters might be 'hand interaction', meaning buying other people's profitable splits and double downs when they choose not to do it themselves (or when they double for less and you cover the rest).
Max Rubin's "Comp City" is also a worthwhile read, detailing how players can camouflage their blackjack play in a way that can earn them higher comps than their net theoretical loss. However, the last revision of this book was in 2001 (orig. pub. 1994) and I feel that modern casinos tend to distribute comps more based on computer analysis rather than pitboss discretion, so some strategies may be outdated.
If the casino that you play at offers matchplay coupons either in advertisements or through direct mail, then it's worth pursuing those vigorously at the right price. The chances of winning an any particular blackjack hand is a little less than 50%, so you should offer to buy matchplays for a little less than half of its face value (actually, a little less than even THAT, in order to be profitable). I have purchased $25 matchplay coupons on ebay for as little as $5, for example. Also, don't be afraid of buying direct mail coupons that have other people's name on it, as most of the time the pit never bother to check ID before shoving the ticket down the slot. If the casino has a "one coupon per day" policy, then get your friends to redeem them for you if you travel together (or even give a dollar to a stranger!), or bounce around different pits and tables. It's really not a highly enforced system.
Lastly, if you want to increase your comp rate without necessarily earning more actual money, learn to play the basic video poker game of 9/6 jacks or better. the house edge of 0.46% is roughly the same as blackjack and more importantly, many casinos will comp VP players at the same rate as slot machines regardless of the difference in EV. It is relatively easy to churn $100-200 for an hour or two, cash out at or around a breakeven level, and earn yourself a free room or gourmet meal in the process. Plus, your mailbox will be jammed with future offers down the line.
I respect that nothing except counting cards will technically lead to cash profits in the long run, but there's nothing wrong with a recreational player getting his/her entertainment on the house every time.