A Thompson Center Encore will run between 5and 800 dollars new. On the used market look for an Encore or a TC Contender. Both are good rifles and you can get new barrels in different calibers for around 300.
Calibers for deer 243 win, 7mm-08, 308, 30-06, or any one between those will perform well on deer. These have the best factory ammo availability.
On the less expensive end of the market Rossi makes some decent little break actions for not too much coin. I got my son a matched set with 22 lr, 243 win and 20 ga shotgun barrels that are easily changed. It shoots better than him and he can practice with cheap 22 ammo.
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You can't fix stupid....however ignorance can be cured through education!
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