You could go with some pretty inexpensive rings that would hold the scope on the rifle but I seriously don't recommend it.
My recommendation would be to get a good heavy duty picatinney rail that has full width slots and no slot down the middle. Something like the EGW HD rails that sell for around $70. Made of 7075-T6 aluminum that is more than strong enough. Steel will set you back $50 more for not much more gain in durability.
For the rings, I would suggest a set of "Picatinney ONLY" rings, not those that will also fit on Weaver mounts. The true Picatinney rings have a wider cross bolt or stud on the bottom that fits the picatinney rail nice and snug. No fore and aft movement. Many make rings that fit both weaver and picatinney rails. The cross bolt is narrow enough to fit the smaller weaver slot therefore they are sloppy on the picatinney rails.
I would take a good look at Seekins or Badger rings. The Seekins are less expensive than the Bagder but are every bit as durable. These rings are machined in pairs and serial numbered as sets. No lapping required as you'll find with a lot of the less expensive rings. Vortex also offers a good set that are similar in price and design to the Seekins.
An added note on the design, Seekins and the Vortex Precision Matched 30mm rings do not use a cross-bolt to secure them to the rail. They use torx screws (T-25 on the Seekins) and this gives you a nice clean setup. No 1/2" "head" sticking out the side to snag on your gear. Much nicer setup.
As they say at the Seekins website, base and rings are often overlooked as to their importance. People will buy a good scope, put it on cheap mounts, then blame the scope when there are accuracy or repeat-ability issues.
Take it from a guy who has a box full of inexpensive rings, pay a few bucks extra and do it right the first time around.