IMHO, Hamilton is a little problematic for conservatives. And I love the guy.
On the one hand, he's the clear voice of capitalism among the Founders. And in a sea of dreamers and speakers, he was the pragmatist, who rolled up his sleeve and actually made much of the new country work. Our economic power is largely built on the foundation he laid in the earliest days of the Republic.
On the other hand, no other single figure was more instrumental in consolidating Federal power and giving the Federal government authority over the states.
Still, an amazing man. What he could have accomplished had he not died on that cliff in New Jersey....
It was not Hamilton who cemented federal power over the states but the Constitution. He and Marshall were the greatest interpreters of the Constitution we ever had with the latter examining every issue through the thought of the former (as he admitted.) Had Hamilton been able to defeat Jefferson's political machine and become president I do not believe the Civil war would have occurred.
I don't think you are giving the proper consideration to context. Hamilton was only infavor of as much Federal authority as was necessary to make the Union succeed, versus what existed at the time (which was nothing). Blaming him for the later growth of the Federal government is like blaming Jefferson for slavery.