There’s plenty to choose from here’s some to name a few I will try and rank them by expense:

• BSA Outlook 3-9 or 4-12 while out of stock now from my info I’ve researched should be back by mid to late Feb. ($79-100 SFP)
• Hammers 4-12x40 AO ($79 SFP)
• WestHunter 4-16x44 ($141 FFP) Only thing I don’t like is minimum parallax distance is 15 yards so if you wanted to shoot things closer well your going to encounter a very blurry image. But if distance does not bother you this is one budget option to choose.
• Hawke Airmax 4-12x40 AO ($239 SFP) When in doubt choose a Hawke Optic this will take a beating for a 1in tube diameter.
• Vector Optics Veyron 4-16x44 ($259 FFP)

Sorry for the slow response I had a busy day. Some of these scopes come with rings/mounting hardware please pick the options that best fit your needs.