Basically like the title says I would like to see a drama where the main lead has gotten a good job despite having no financial backing. Would like there to be romance with a woman who many are pursuing but she rejects them. I have never seen a drama like this so hoping there is something like this.

Thank you

Try searching with poor male rich female maybe :)

Smile you is somewhat fitting the discription.

Ugly Alert - Over 100 episodes, however each episode is only about 30 mins, so you basically can count it as 50ish. ML works himself up from absolute bottom, having just come out from prison for a crime he didn't commit. The FL is daughter of a rich family.

Ms temper Nam Jung ki, if I remember rightly it may be different from your description but it's alpha female beta male. She's his boss and he has no financial backing and struggles with getting promoted. 

bachelor's vegetable store

Giant is also a good one fitting the decription.