Re: Question.....would you?
ventless propane is very efficient and pretty close to trouble free. As for baseboards, I'd look instead at the compact electric wall heaters they have now. About 120 bucks, requires about 9" x 12" of your wall and produces the btu's that an old style 8 foot baseboard did. Has it's own thermostat built in and takes about a half hour to install assuming your power is already run to where you want it. We put three in different rooms where the natural gas heater doesnt get to and they did a great job and didn't make a large electric bill.
Life Member of NRA, Tall Tine outfitters, and life member of UBP.