That's one reason I have stock tanks ! My chair is 6" away from tank and very easy to have my hand in tank . Try this , after feeding there will still be begging. Now I never force any turtle to do something they don't want to , have patience on this. Feeding over I place my fingers in tank , yes at first stay's a distance. Over time will come closer but I do not move toward them , watch her reaction to the fingers. Now if she want's to bit yes get out the way. One day will come close to fingers to investigate. In time she will brush up against you , still don't move , build a trust. Down the road when 6" away start to move your fingers see how she reacts. In time will approach you , touch her shell watch any reaction , then pet it in the water and in time you can pick her up with no stress to her and pet out the water. I've done this with every turtle and works for me. Little hard to do with tank on a stand so I say use a bar stool that helps , it takes time. Some only a few days, some weeks and some even longer. Never force or chase a turtle around tank to try and pet them. If I put my hand in tank palm up Piggley comes over get's in my hand knowing he has to get out tank ( no stress) if I need to do a full maintenance. Turtles can be smart , Piggley is. If only little daily maintenance I keep him in and he try's to help turtle style.