Counter offer the original offer of the other company. Normally you can get another 5% or so out of it. If not, negotiate vacation days or 401k vesting, or work from home benefits.

You can always say your company offered a match, and you're interested in moving, but you just would like to see the compensation match the difference in travel. Leave it open for negotiation though. Say you're excited for the position, think you'll work well with the team, etc.