It would go a heck of a lot better if that crossmember was taken out. I'm not even sure that you could even remove it with the crossmember installed.
What's the problem with the crossmember? If the bolts are seized, hack them off with a grinder and a cutoff wheel and pound the bolt out. If the bolts are out and the crossmember is still stuck, spray some WD-40 at the rubber bushings and use either a hammer or a crowbar to lodge the crossmember out of the mounts.
If you can get that far, then it's just the matter of putting a jack under the tranny, loosening all the bellhousing bolts(you can reach all of them, I just did this last month), disconnect all the electrical and clutch lines, pump the jack a few times, and pull back on the tranny, it should slide right out with some help of a prybar(not much, though).
It's actually quite easy. Don't do this by yourself, this will go alot smoother with a garage buddy. Things may go wrong(tranny falling on your arm) and it's always nice to have someone there to help you.