The post is somewhat odd: damascus and low on funds? These are typically mutually exclusive, but affordable is a relative term.
You can get a case damascus for 100-150 or so. Compared to modern tacticals, that isn't a great deal of money.
For single blade slip joints, your options aren't as robust as multi-blade options, but they do exist. Plenty of sodbusters, canal street has a half moon trapper that looks good, same goes for a queen copperhead/ mini hunter, etc.
For cutting apples just about anything works.
there are plenty of non tactical single bladed options (avec or sans lock) that look nice too, e.g. al mar hawks, Great easter cutlery...
I guess any recommendation depends on a refined criteria list, e.g:
blade number
blade size
lock or no lock
material wood, bone, metal?
blade profile, e.g. hunter, clip, etc.
budget < 25$ < 75$ < 125$...
steel: carbon, stainless....
In pocket or sheath?