With your scores and other DPs I’m pretty confident you would be approved for the AmEx cards as their pre-quals are often solid.
OP, I’m somewhat of a fan of US Bank, My scores were definitely lower than yours when I first apped but my income is around 85-89k. I apped in May for their platinum card and got a 3.5k SL and in June I apped for their cash+ and was given a 14k SL they are a little bit slow with all their manual reviews but I can’t complain about them too much. Your scores (if they’re all fico) look good to get about what you want unless there are things holding them back - collections, late pays and such... I dont know what you can expect for SL/CL’s as far as your income but I’ve ran across a few threads where chase has handed out 5-10k sl’s so who knows, credit is a ymmv game. If you do app for anything please let us know the more DP’s the better! Good luck and welcome!
The Petal Credit Card Will maybe be the Best Choice if your Looking for 2000 or More, They Have Pre approvals By Checking your Bank account (I think) But from all the reviews i read They are not scared to Give 3,000 to 10,000 Starting Limits, But Every profile Differs from what i have been Learning
I travel the US doing commercial electrical work- at night definitely not for everyone anyway, DP = data point. Chase(my Daily Driver) seems to prefer thicker files Amex could/should be a solid one for you and their customer service is pretty decent from my Amex days. You can try out BB&T’ pre qual page too, mine was a soft pull and I believe a lot of people here have had the same results. creditcards.com will / can match you up with cards too just use their card finder tool.
Welcome, @Anonymous. 
You should be good for any of AMEX's cards. What you need to decide is which rewards program is the better fit for you (cash or MR points). I don't have an MR card (like the Everyday), so if you're interested, hopefully, someone will pop in and explain how the system works. Cash is cash, so there's not much to understand except that redemption is delayed by a month after the statement period in which reward is earned.
Also, don't count out Chase. I don't know where you sit as far as the business card you mentioned. But you should be good for one of their Freedom cards or an Amazon Visa. The most important requirements for Chase are that your oldest card is at least a year old and that you don't have a bunch of recently acquired cards.
Because your goal right now is a decent credit limit, I'd go with the AMEX card of your choice.