hamvil:
Moreover I having some difficulties in finding non SSR relays supporting at least 60vdc and more than 1A.
You cannot be looking in the right place. Where are you looking?
Try this:
Click the "power relays" section.
Search for in-stock, Turn On voltage less than or equal to 3.5V.
Sort by price, quantity 1, and look down the coil voltage column for 5V, and you end up with this:
$1.67.
You need a small signal transistor to turn it on. Anything will work. I'd use a BS170.