The 2200's would be quite stable into a 4 ohm load. In fact, they're rated for 300W at 4 ohms.
Will a more powerful amp hurt a speaker? Actually, having more available power can help avoid doing damage to a speaker - the extra power helps keep the amp from clipping under extreme loads, and clipping is an easy way to damage a speaker. If your speaker is efficient enough to not need more than 120W at 4 ohms, you'll never need to push the amp past that output level (at least not without endangering your hearing).