Is there a landline telephone in your apartment?
If so then good old-fashioned dial-up may be your answer. I have done ticket bookings, online check-in and the like on dial-up, it's a bit slow but it works fine.
Ipass (which I mentioned previously) provides access to dial-up providers in addition to wi-fi (they started off doing dial-up only and then added wi-fi when it became more common).
Mobile broadband isn't necessarily always mobile broadband. If there is no 3G coverage then it drops down to GPRS which isn't much faster than dial-up. You could end up spending a lot of money for mobile broadband only to find that what you're getting in your apartment is 56k GPRS because you're outside 3G coverage. (I use a mobile "dongle" a fair bit and I find that 3G coverage is quite patchy)