Try this...

Go beg with your dog until you make enough for a case of water and supplies (marker / board). You sell your water for a dollar until you have made enough for a cooler, ice and more water. You keep selling water daily and move locations until you are making $100 a day. You take the money get an apartment and keep saving.

You take your savings and go to every rust conference / local meetup you can afford to travel to. You write blogs, make connections in the rust community.

If you are lucky someone might use it and write a nice tweet which will get more people to notice. One day someone at a large company will use it and pay you for support.

or

Bring the dog with you job hunting do the 35 hours and get support.