Race has little to no impact on your stats, as the starting stats are very similar between the races, and as you distribute stats however you like them as you gain physical levels, you can build your stats as you see fit.
Remember, you can redistribute stats as well.

If you have yet to play as a CON or THM, simply buying and equipping a weapon for either of these classes will have you "start over" as a rank 1 to play alongside your friend, while still have easy access to your current crafting.