I started with a $15 double edge safety razor that I used for years. I bought the $70 Henson razor because I wanted a better shave, but the results are about the same as the $15 razor I started with. The Henson razor glides better so I can get the same quality shave with less time. I can also shave twice (one across the grain once against) if I want a better shave, but it still isn’t the smooth shave I was hoping for. The henson razor came with 100 blades, but you can also get 100 blades for $10 on amazon.
I would start with a heat shield and see if that helps. I Had a similar issue where my AC evaporator is 6 inches from an exhaust header. I added a heat shield on the evaporator housing and it helped with AC temp.