Even if the liquid's temperature is not perfectly controlled, you can measure it to <0.1°C with any ammeter probe and apply a correction.
Hydrocarbons wet steel very well and protect it against corrosion. Shorter ones are thinner but flammable and volatile. A compromise would be around kerosene, Diesel oil, or the more reproducible and healthy cis-Pinane, 2,6-dimethyloctane, mesitylene...
I suppose your part has a complex shape? Because, if you can machine a small cylinder of the unknown steel, measuring the dimensions and weight is much more accurate.