CBSubs Mailer can absolutely do that. Use the following settings.

Basic
Relative to this date: Member's Sign-up Registration Date
Conditions
First condition: This condition
Date A, Field A or Value A: Constant Value or String (CB substitutions can be used)
Value A: [cb:if field_a="" and field_b="" and field_c=""]EMPTY[/cb:if]
Date B, Field B or Value B: Constant Value or String (CB substitutions can be used)
Value B: EMPTY
Condition 1 (> for Dates): A = B (Value A is equal to Value B )

Replace field_a, field_b, and field_c with the names of those fields. That'll let you send an email relative to registration date conditioned against 3 fields being empty. As for your 3 different time frames it'd just be 3 different mailers with their "Automatically send message starting at" and "But do not send message if it's later than" parameters adjusted accordingly. Probably something like the below

Mailer 1
Automatically send message starting at: 1 hour after
But do not send message if it's later than: 5 days after
Maximum messages per customer (0=unlimited): 1

Mailer 2
Automatically send message starting at: 5 days after
But do not send message if it's later than: 9 days after
Maximum messages per customer (0=unlimited): 1

Mailer 3
Automatically send message starting at: 9 days after
Maximum messages per customer (0=unlimited): 1