While a gym with a wide variety of equipment is good, you can make do with whatever you have access to. If you can get access to a gym with at a minimum sets of barbells and plates, dumbbells, and some kind of worthwhile collection of pulley or plate loaded machines, that would obviously be best.
If not, and you're stuck in your workout room, you need to figure out what role the deadlift plays in your routine. There isn't going to be a 1 for 1 replacement for a barbell deadlift given the equipment you've listed, but there are plenty of movements that are similar or work some of the same muscles.
If you've got heavy dumbbells, DB deadlifts and DB squats obviously work the body in a simmilar fashion to the deadlift (but with only a fraction of the possible load).
You can do hip thrusters with a DB, pull throughs on the pulley machine and any number of other posterior chain exercises with the equipment listed.