The Mathews FX is a great little hunting bow for the money. Parker also has some lower end bows that are made well as does Martin, Darton, PSE, Reflex and Bear/Jennings/Buckmasters. You should be able to find a nice bow for the price you want to spend. Here are some of the models that would work good for turkey & deer with out breaking the bank.
PSE Shark w/ Rimfire Cam - $499.00
Browning Mirage 1.5 - $499.00
PSE Typhoon Centerfire One Cam - $350.00
Alpine Impact X-Treme One Cam - $320.00
Ben Pearson Spoiler - somewhere around $350-400.00
Darton Storm - somewhere around $350-400.00
Fred Bear Realtree TRX - $399.00
Martin Prowler SE - Tru Arc Cam - $399.00
Mathews FX - somewhere around $399.00
Parker Extreme Hunter-Mag - somehwere around $399-450.00
Parker Hunter-Mag - somewhere around $300.00
PSE Shark w/ Rimfire Cam - $499.00
Browning Mirage 1.5 - $499.00
PSE Typhoon Centerfire One Cam - $350.00
Alpine Impact X-Treme One Cam - $320.00
Ben Pearson Spoiler - somewhere around $350-400.00
Darton Storm - somewhere around $350-400.00
Fred Bear Realtree TRX - $399.00
Martin Prowler SE - Tru Arc Cam - $399.00
Mathews FX - somewhere around $399.00
Parker Extreme Hunter-Mag - somehwere around $399-450.00
Parker Hunter-Mag - somewhere around $300.00