I tow my 14-lb Havanese with me almost everywhere in a converted Bell child's trailer that we found on Craigslist. The seats were removed and the bottom half of a plastic Vari-kennel functions as the floor and side lining. We put a thick dog blanket inside for padding. He took to the trailer right away and has been an excellent little traveler since. His 'sister' however is a high strung Pug mix that loves to ride, but she will jump out at the slightest provocation. So, because this trailer is not a dog-specific trailer with a zip up enclosure, she is tethered inside with a harness and short lead to keep her from escaping.

Our local park is 2-1/2 miles away and we take them to the park this way.

Here is a short video of Pepper riding in his "chariot". He loves to go for bike rides and will load himself into the trailer when he sees me pull my bike out. He doesn't want to be left behind

If your TFT takes to cycling and you find her weight too much for a front basket or on your body, you might want to consider a rear rack basket with harness or a pet-specific trailer like Croozer, DoggyRide, or Burley Tail Wagon, etc.

If you introduce her to riding gradually, around the block, the neighborhood on quieter streets, etc., I think she would love it!