Congrats on making progress toward your goal.
The harsh reality - new grads have NO negotiating power at all for salary or benefits.... for that matter, staff nurses don't either. If you are a very skilled/experience nurse with 'hard to find' skills, you might be able to negotiate, but for the most part it is limited to management positions. Most hospitals do have tuition reimbursement benefits for their employees. However, it is usually not nearly enough to cover your expenses. $1500 a year is not uncommon - srsly. You'll just have to fund it like we all did; loans &/or savings.
My advice? Look for an inexpensive (mostly) online bridge program for that BSN. In Tx, you could go with either UT-A or the TAMU-CC eLine program.. both at in-state tuition rates. So, ~ $5000 total. I don't believe that they are 100% online, because there are clinical components that are not included in ADN programs.. but you can work with a preceptor at a location near you.
When it comes time to look for a new grad nursing job, the only degree that is considered is your nursing degree. Doesn't matter what other degrees you have. You may get 'points' for first-responder experience IF you have enough of it, but most of it is not relevant to nursing jobs
unless you are hired into an ED.