I recommend that you look at buying a relatively inexpensive receiver with preamplifier outputs, and buy a separate power amp (or amps). Don't simply buy a receiver that the manufacturer claims is "high current", as that is a marketing phrase that has no real significance, as it is sometimes on equipment that is not intended for 4 ohm speakers. You want something rated for 4 ohm speakers, and if you want that to happen with surround channels, you are probably best off with a separate amplifier.
The question, as posited, may be asking for something that does not exist. I know of no receiver at that price point that is rated for all channels driving 4 ohm speakers, though, of course, I do not happen to know the specifications of every receiver on the market. If it is just the front right and left channels that need to be rated to handle 4 ohm speakers, most of the receivers in that price range probably would qualify, though I would prefer to use a separate amp anyway if I were going to listen very, very loud. But since the Axiom M-80 v2 is very efficient, if they have not misrated the impedance, they are probably okay with just about any receiver in that price range.
An inexpensive 2 channel amplifier like the Behringer A500 might be good insurance against damaging one's receiver with a low impedance:
http://forums.audioholics.com/forums/showthread.php?t=17004&highlight=behringer