10A+ DPDT relays will reverse direction (occasionally and not quickly; probably fine for fwd/reverse.) It's probably a toss-up whether that would work out cheaper than a "real" H-bridge...
You could control forward and reverse that way, but without adding an extra relay, you couldn't control on/off! So, it would be better to use a couple of SPDT relays instead of a single DPDT...
You wouldn't have PWM control, but you might be able to put on the low side a power FET or transistor, and PWM that, and switch direction with the relays; the whole thing could probably be done under $15.00 USD...