posted 8 years ago
At least in most cases, I don't believe there is a reburn in the barrel after the heat riser, so stealing heat from there would not be an issue.
Your workout room will presumably want instant heat while the house will want long-term heat, so having any mass at all in the garage would be counterproductive. I might suggest a small barrel over the heat riser, as is standard, with the exhaust from that going through the wall to a masonry bell (a hollow brick box) in the house. This bell could be as small as 2' square by 5' tall more or less, and would give you a good amount of lasting gentle radiant heat. The exhaust duct out of the bottom of that could go back through the wall to a chimney in the garage, if the house is not conducive to an internal chimney. It would not have enough heat in the final exhaust to be hazardous, if the parts are sized appropriately.