I dont know if you're serious or not...
Don't beg ! Art is a luxury and you can live without buying art, and do not stress artist by begging. Artists deserve being paid money.
I am wary of "draw stuff for them and hope they make you stuff back"... Many popular artists are cautious of kindness bc of this. You do NOT want to befriend them for free art !! Please.. draw them gifts bc of genuine thoughts and no secret intention like wanting free art from them. You get gifts from honest friendship, not benefits
Lastly, copy art style is a gray line... I'm ok with copying styles of popular anime for exanple, but if popular artist, I prefer taking inspirations bc I worry if I will steal their profit and hardwork if I copy their artstyle.. ^^;
Thats my 2 cents... My answer is to work hard and save money for commissions, its worth it even if it takes a while