Trish...I have seen people use a board for the back and attach a old farm hook long enough to hold the roll. Maybe you can get a few other ideas. I bought one in the 70s and still use it but I didn't DIY then!
You could screw two hooks into the wall and then extend a pretty piece of driftwood or other stick across to hang the towel on. Good luck!
Much alike DIY Swing out drapes, A 1 inch Oak Dowel, 36 inches or 48 inches needs 'Finishing Hardware'
Most hardware stores have these and can guide you to finishing hardware you need for a professional installation.
Some people use old ladders. Either the rung ladders that go against the wall, or they make a feature by using a step ladder and add shelves on the steps and use hooks on the sides. Look to Pinterest for ideas.
Do you have any particular decor theme that would like to create? I have seen sports equipment used effectively, including a former champion baton twirler who had used batons for towel rods.
Trish: Here are some clever ideas! HAVE FUN!~
Ladder against the wall hand towels on the steps paint to match the room
Here's a few more diy towel rack ideas upcycling other objects.