Sorry for not being very active in this thread.
To your questions:
It is best to use a power supply that can handle exactly 14.8v. 15v will also work, above 16v keon switches to overvoltage protection, and will not start.
The heat development is normal as with battery use. Of course you should always check how warm it gets during a longer session (cock-hero), don’t let the engine get too warm.
Motor still works fine after about 3-4 times a week on power.
Greetings