Changing slavic family name to german one cuz of racism?

Hi, I’m half german, half slavic. I grew up in a slavic european country, so i have also a slavic accent in German (not totally hard but well it’s hearable). I have the slavic family name from my Father.

At the age of 20 (3 years ago) I moved to Germany and I’m disappointed how in my own country I’m seen as Foreigner due to my name and accent. Last months come more and more comments to me in racist way, especially at the doctor offices or in public places. I have the option to change my family name to the birth name of my mum, that’s a german one and quite popular (like König). I would like to do it more and more, but the problem with my foreign accent will stay my whole life. What do you think, is it sense to change the name to feel more connected to the country and to not implicite with my actual family name, that I’m a foreigner? Most people rude to me and they are getting kind as I mention that I’m half german… but I don’t know how it will be reacted when I got totally germany name and still have my slavic accent :( (like people would think I have an identity problem).

For future questions: I grew up in quite german Ordnung and I feel comfortable in Germany, what is totally opposite to the country i grew up in. My plan is to stay my whole life in Germany.