Odds are it will work just fine. That max of 7 amps is probably the maximum the board will ever draw, loaded with memory, under full load, etc. It probably idles at quite a lot less. The Arise unit can probably do 7A for a few seconds if needed anyway.
Player: Pentium 166MMX, Amptron 598LMR MB w/onboard Sound, Video, LAN, 10.2 Gig Fujitsu Laptop HD, Arise 865 DC-DC Converter, Lexan Case, Custom Software w/Voice Interface, MS Access Based Playlists
Car: 1986 Mazda RX-7 Turbo (highly modded), 1978 RX-7 Beater (Dead, parting out), 2001 Honda Insight
"If one more body-kitted, cut-spring-lowered, farty-exhausted Civic revs on me at an intersection, I swear I'm going to get out of my car and cram their ridiculous double-decker aluminium wing firmly up their rump."
Thanks Aaron. I'll try it out and find out for sure.