Unfortunately, no one can tell you what limit to expect from any issuer. It's always a roll of the dice.
Your profile looks good, with the exception of the old late payment - but it also seems you don't need a high SL since you apparently have $30K lines you don't use at all ($0 balances - do you know there's a scoring penalty for having all cards at $0?). Also, there are other factors lenders consider -- such as income / DTI, age of accounts, etc.
I've seen BOA hand out big limits on OK profiles and mediocre limits on seemingly great profiles. But -- BOA does seem to grow well.
Of course, wait for other responses but I advise you take any guesses of potential starting limits with a grain of salt.
Your profile looks good, with the exception of the old late payment - but it also seems you don't need a high SL since you apparently have $30K lines you don't use at all ($0 balances - do you know there's a scoring penalty for having all cards at $0?). Also, there are other factors lenders consider -- such as income / DTI, age of accounts, etc.
I've seen BOA hand out big limits on OK profiles and mediocre limits on seemingly great profiles. But -- BOA does seem to grow well.
Of course, wait for other responses but I advise you take any guesses of potential starting limits with a grain of salt.
As others noted, with a late and limited credit already issued, a large SL seems a remote possibility.
Also, the combination of Rewards card with 0% APR is not too likely.
Many travel cards offer a SUB, which sounds like your spend volume will be able to cover much of that. Then if you have a card to BT to, for a small fee it can be paid over time on the second card.
What is your card list already?
Chase (Freedom Unlimited - 1.5%CB) threw me 18 months at 0% with a 10k limit. But as always - YMMV.
Good luck.
Starting Score: F8 3xx
+1 what @Anonymous said, although often that's decades not just years. 
Your best bet may be with a credit union. With BOA, you will usually need relatively high income and/or substantial deposit or investment accounts with BOA, Merrill Lynch and/or Merrill Edge in order to get large limits right out of the gate, but the cards certainly can and do grow with the right profile. You did mention the BankAmericard, which is a no-frills card best reserved for balance transfers or short-term balance revolving. It earns no rewards.
"Travel" card and 0% don't really mix a lot. Discover it Miles currently has cash back match for the first year (essentially 3% for all purchases) and a 14 month 0% offer. Discover can be all over the board as far as starting lines, though. They seem to prefer thinner profiles (likely in hopes that their card will be your daily-use card) so I have seen some impressive starting lines for those with more limited credit, those just starting out, and those with a blemish or two. Meanwhile my card started at I think $3000 and after 3.5 years just finally hit $12k, less than half of my average credit line. Chase Freedom Unlimited was mentioned earlier, and that can fit what you are looking for if later paired with a Sapphire Preferred or Reserve. No one can guess at Chase approvals, but if you have other Chase cards it is very easy to move limits around as needed.
