Patience and planning in the right stock are key to a budget. You did not cite what you are using the stock for as weight starts to play a factor if for hunting. The B&Cs are a great place to start if you are looking for new. Also, you should check out some of the used stocks for sale on this site as you might come across something used with a cheek height adj already installed or for less expense than new. If your future planning includes DBM the then patience and saving a little extra will pay off. You only listed an adj cheek piece, but thinking down the road can save some $$. I run HS stocks, because I like the weight reduction. I run a PST035 which is around 2.4 lbs. I also run a PST012 which is around 2.6 lbs. Add a cheek piece and a little extra poundage. Again, B&C are hard to beat for the price. Be patient and Blessings!!
If this is primarily for a hunting rig, and you plan to move around or possibly stalk, just make sure to consider stock weight. While all the bells and whistles (adj. cheek piece, adj. butt plate, etc.) in e.g. a B&C A5 are very nice, they do come at the price of additional weight. The A5 weighs in at 5 lbs., which is why I use a lighter rifle/stock on my elk hunts. If you can't get proper cheek weld with a lighter stock, seriously consider a Karsten cheek piece.
Or build a cheekpiece with a "Isomat" and green riggers tape. Worked great for years before I bought an adjustable and still have it done this way on my return staock which is my hunting rig. If you dont like the way it looks, throw a stock pack on and call it a day. For a hunting rig, on a budget, thats what I would recommend doing.
For a budget build I'm going to throw out a +1 on the B&C medalist a2. I'm running one on a 5r right now. You could either throw an adjustable piece on one, but I'll probably just find an isomat and a stock pack.