I there is a lot of skin there you will always have some amount of arm wings, unfortunately

... but keep working your biceps and triceps, it will make a difference, but it will take time and effort.
When you say «bone building» routine do you mean weight training? Are you lifting to failure to fatigue your muscles? If you are working with light weights and doing more than 12 reps, it's time to move to using heavier weights. Muscles get «toned» or build when the muscle fibers are breaking down, the repair of the muscle is what builds/tones them. Don't be afraid of using heavier weights as women we can't bulk up we don't have the testosterone for that ...
If you can do counter push ups easily you can now go to stair push ups... You'll have to do this by trial and error, start on the 4th step or so, if it's too easy go to the 3rd, 2nd, and so on till you are doing the push ups on the floor... Push ups are a good all around exercise they work chest, shoulders, triceps, back and abs...