Have you ever tried Canva?It is really good.I am also reluctant Adobe products because they are expensive and need a high performance computers.
So I just use some online design tools.I mean I used to not that I do now because I have retired as a designer.The logo looks good but I think color combination could be better.
Although,it is just my personal opinion,still I thought I may share it with you.
My best wishes for you.