If you're putting in a CVL just because of difficult vascular access and not because they need it for some other reason, you should be putting in an US guided peripheral line. If you don't know how to do one/aren't good at them, start practicing them on your shifts when you're not as busy.
If that fails/blows repeatedly/whatever: put a long 18g into their IJ. Or drill an IO. Either way, I can think of very few cases where one or all of these alternatives wouldn't work at least until things calmed down.
Also, just because the patient is on pressors doesn't mean that they immediately need a CVL. If you've got a working PIV and you're running levo, that's fine. Put the CVL in later, or if you're absolutely getting murdered, explain it to the hospitalist and have them get the PICC team to come in and do it in the ED or upstairs.