Constantly rebooting can relieve most of the problems if you don't mind it taking a while... Until you enter, as most people have said, the Spider will probably have manually launched a few IC, and be on the lookout for you personally.
Since this is presumably a host that does not need to be accessed constantly (AKA, it's not public), the Spider would probably pull up the login history of the host. If you enter, he'll see "Oh, someone entered right now? After a bunch of failed hacking attempts? Idiot." You will come up as a legit user, but that doesn't negate your incredibly suspicious timing. You could even still be running silent, but the Spider will order the Patrol IC to look specifically for you, so expect to have only a handful of actions before you're found out. So, no time to do a Matrix Search.
If you're curious as to my logic about the login history...
First we have to assume it's not a public host. If it was, you wouldn't need to hack your way in, you can just ask for a mark and get one. Only one though. So since it's not public, it's a restricted one. Like a host at a corporate facility. Employees are potentially logged in to this host, but the thing is, they probably all connect to the host in order to "clock in" and don't log out until that shift is over. Since this isn't the host for some shitty retail store if it's actually difficult to hack (unless you're just trash at hacking) the shifts aren't scattered out through the day. It's likely there's two or three eight-hour shifts; "day shift" "night shift", "overnight shift" etc. Logging in outside of the times when all the employees for that shift are rotating in/out is extremely obvious as someone who doesn't belong there, even if you hadn't alerted all the matrix security to a potential attack.
So, as 忍 said, expect to just be destroyed_banana'd once you're inside by the twitchy, alerted security and IC.