For the purposes of this conversation, a profile is a virtual amp that you can then tweak and change quite significantly, including adding/removing effects.
I wouldn't get too hung up about the profiling aspect, although its very cool and something no other amp can do. The end result is a virtual amp which you can modify way beyond what you'll ever need.
For what you are talking about, there are loads of sound options ( rig exchange has over 10,000 free ones to choose from) so again its fun to profile your fav amp but not necessary.
You will not get any issue using a separate amp as long as its good quality BUT for convenience I'd try to get the powerhead/powerrack. So much easier I find...
If you can't afford it, get the FCB1010 temporarily instead of the remote and the save up for the remote..A separate power amp means you can run Stereo but I disagree with ash on whether that's important - thats up to you :).
I have the power rack and I use it like a convention amp, into a 4 x12 BUT, instead of miking the 4 x12 which I use just for a bit of monitoring, I take a direct out into the PA. Sound engineers love it and it's so easy to set up and run. Hence for live I feel the powered version is easier and more convenient. For some gigs I just run my own PA monitor...again because its powered means I have a cheaper unpowered monitor.
You will not regret the unpowered version but if you can run to it the powered one is worth the extra..
The Axe is also a great tool BTW.