Dan -
Tie a ball on a long rope and bring her in the yard. Pull it along the ground like you would a kitten with a string. Start running and see if she chases you. I don't see how she will be able to resist this toy. Sounds like she needs to burn off a little energy. Put the toy away when you are done and only take it out for your play times with her....she will start to look forward to these times with you (and the toy).
My pup was into everything too! And I literally had to redirect him a million times a day (seemed like that anyway). My puppy loved to explore and wasn't one bit interested in curling up and being fondled. There was too much to see and do. My house is loaded with crafts and antiques and rather than packing up my house, I chose to follow and watch him like a hawk so I could correct/redirect before he got into any trouble.
What worked well for us was giving him his own laundry basket full of toys. I would occasionally hide kibble or treats in the bottom of the basket so he would have to route through his toys to get to the treat. I would always redirect to his toy basket and he soon learned that those were for biting and playing....and they were all HIS!
To this day, when my dog wants to play (which is anytime really....I will say...."GO GET YOUR TOY!") He will trot over to his basket and select a toy, then we will play.
Is there any toy your puppy likes? Do you have a variety on-hand? Sometimes hiding some and rotating with others keeps the pup interested. Toys do not have to be expensive. Empty plastic bottles with kibble inside, plastic tupperware lids, and knotted up old towels all work well.
I LOVE, LOVE, LOVE having a puppy but oh they are alot of work! I love even more though my 2.5 year old "puppy" as he knows the drill and life is easy and routine.
Maybe you are just tired and frustrated at this point and your puppy is not indifferent at all just curious and full of herself. You said she comes to you and licks your hands after her "time outs". So she does seem to engage with you somewhat.