Check out the Bucklite Max. Full tang, Buck 420 SS, hollow ground, USA made. It's a great slicer and should be well under 50$. Pair that with a Fiskars hatchet and you are all set.
Buck Knives 685 Large BuckLite Max II Large Fixed Blade Knife, 4" 420HC Stainless Steel Blade, Dynaflex Rubber Handle with Polyester Sheath Included, Black https://www.amazon.com/dp/B078VD76M6/ref=cm_sw_r_u_apa_glt_fabc_H4NKVWV0JYJ6EYEM49VF