Help Required with a "there I fixed it" project

[monster]

Some lovely person has lent Hector hockey shirts for the spring season. (Short, cheap season, shirts are not part of the deal but each player is required to have two, most players will have shirts from the last, main season)

Long story short, I need to get his name on the shirts. In the regular season, they provide printed iron-on/sew on name patches. I need to cover the ones from the previous player with ours, in a sort of non permanent way. Without spending a fortune. Or anything, if possible

So, I have parachute material that is roughly the right color for the patch to sew on, and cheap white duct tape for the lettering. I'm guesing the material is Nylon.

The duct tape is working "OK". Won't survive a wash, but we can probably get through the season without washing it (trust me, he's skinny, doesn't sweat and id he did it wouldn't make it through his pads...)

I'd like the duct tape to work better. If I placed the parachute material name plate with the duct tape letters face down, covered it with a thin piece of cotton fabric and ironed on a low heat.....

...would it fix the duct tape letters more firmly to the parachute material, or would it make an almighty melted mess and produse fumes to induce my worst asthma attack ever?