a 43psi casing suggests its pretty craptastic a tire to start with , buy a much more expensive tire , you do get what you pay for.
My Schwalbe (German company) Marathon Plus tire is about $50 each , 406-47.. There are several nominal 20" wheels so better to be specific.
So would it be a bad idea to pump the current tire on it to 50 or 60 PSI?
I'd put in ear plugs for the possible loud bang when the casing tears open, or the internal pressure pushes the loose fitting bead off the rim again.
I feel so much better with the security of a difficult to mount, tight tire.