Well, welcome to the world of SR first off, and here is my two cents...
To do inside recon, I would think a mini-blimp is that great, i would either go with a crawler like suggested earlier, or if you have the book, go with the SynthCat. It looks like a real cat, and can walk around and move around like a real cat, but you can still do all the fun rigging stuff with it. And if your covert ops expert or decker does not have much electronics (for breaking into maglock and what not) you could put small arms on the thing to do electronics work with it. I don't have the book so I don not remember how much CF the cat has, IIRC it has only 1 or 2 CF, and I am not sure if this would do the trick.
Also trip out your deck with all of the goodies, at least get a rigger protocol-emulation model, signal amplifier, (i have some storage memory in mine for recording events), rigger decryption module, some encryption for your network to keep it safe, if you have the cash add on a Remote-control biofeedback filter (may not be usefull in the current run (the building is your companies) but it may be usefull later. and If you can get the battletac IVIS system, this can really be helpful in controlling a large network and integrating yourself with the rest of the team. (all of this is on page 96 Rigger 3 revised, if you have the book)
Also, has a suggestion to your GM and you, if you have the R3R book, look at page 80 for the alternate vehicle combat rules, it makes using a Drone in combat a lot simpler by treating them like a standard character.
as for drones, I like the SynthCat, and mini-blimp for recon, many of the suggestions already posted sound great to me, (some new ones to me, I bow to the older dumpshockers wisdom

)
as for other drones I like the steel lynx, with either miniguns or a panther cannon (can take out the bigger stuff) for indoors ground work, the Ares Guardian is best tough thing, but I have never used a RotoDrone.
other equipment that is important is a good dataline tap, just in case you need to get into a CCSS network...
I would also agree with toturi, a couple good quality drone can be really usefull.
and for not being in combat, I can't imagine a remote network working well indoors, so two options, lots of ECCM, signal amps, and electronic warfare, or, if your GM would allow this, (I am not sure this would work) but see if you can get your GM to allow you to make a small box, big enough for your character to curl up in, and armor it up the yinyang, and then put wheels and some lift tethers on it. That way, a ground based drone (Steel lynx) could push it around (obviously not during combat) or the Guardian could lift it up stairs. If your GM can allow this, maybe he will allow it to have it's own motor so you can drive it like a little car....
I know it sounds silly, and is kinda munchkiny, but hey, you just want your rigger to be safe right?
If your GM won't allow that (and I am not sure i would as a GM... need to think on this one) then your pretty much stuck with going in with your meat body, lots and lots of armor, yea you may take a hit to combat pool and quickness related tests, but it won't hurt your rigging that much.
As for myself, my rigger, up till recently, only had a skimmer with an AK duct-taped on to it. Thus, I wore good armor and went around a lot in captain's chair mode, because you can still move around and shot and do everything normal in that mode without penalties. (IIRC)
just my two
Good luck, and have fun man
amadeus