Matt,
I'm not going to try and spell out each and every regulation and rule associated with the use of sUAS. Instead I'm going to point you in a direction that will permit you to read them for yourself in order to gain an accurate comprehension of the law. Some of what has been previously presented in this thread is not correct and I have no desire to attempt to correct those presenting the information. Better to let everyone review the law themselves for an accurate understanding of the rules that apply to them
The first place to look is Part 336 of the federal aviation regulations.
https://www.faa.gov/uas/media/Sec_331_336_UAS.pdf and the FAA's interpretation of Part 336.
https://www.faa.gov/uas/media/model_aircraft_spec_rule.pdf These parts specifically reference recreational use of sUAS and RC aircraft. Two things to remember as you wade through this stuff is there are differences in rules between recreational and commercial use of sUAS/model aircraft, and that everything that flies has been classified by the FAA as an "aircraft". A multirotor is an aircraft, as is an RC plane or helicopter.
The next area of review is Part 107 of the federal aviation regulations.
https://www.faa.gov/uas/media/Part_107_Summary.pdf This part specifically addresses the commercial operation of sUAS/model aircraft and how to qualify to become a commercial operator. Careful reading of this regulation will reveal quite a few differences between recreational and commercial use of sUAS, and clearly defines distance and altitude limits, some of which are not the same as provided to recreational operators in Part 336.
Since you are in California, specifically the Bay Area, there are other laws and rules to contend with enacted at the state and local levels. Start with the anti-paparazzi law and research outwards.
Law section
Moving forward, the City of San Franscisco enacted several laws that are enforced at the local level, and even went to far as to enacts laws restricting sUAS at the Bay Area's state beaches, which complicate matters even further since they conflict with other state park regulations.
Here's Where You Can Fly Drones in the Bay Area I'll let you research the laws governing your local areas as I don't know where you will operate and until I elect to operate in those areas they have no relevance for me.
So answering your original question of "max distance of the Pro model out of the box" is a little complicated. Physically, it has the same maximum range and distance as the H standard model. The Pro designation does not add additional operating range. You also need to bear in mind that an area's frequency saturation, terrain, and buildings that occlude visual line of sight act to reduce effective useful range. Note the documentation that comes with an H uses the qualifier "up to" to describe range and flight time. In actual use those times and distances will be less than the stated maximums. How and where you fly impact them greatly. If you choose 2,000' as a point at which even those with the best of vision will lose sight of the H, and reduce that distance to what your visual acuity allows visual contact to be maintained you will have an accurate estimate to work from. That distance can of course be reduced by conditions generated by the area you are flying in.
In closing, something many fail to consider is that when they elected to become involved with the operation of sUAS, be it for recreational or commercial purposes, they accepted a personal responsibility to become cognizant of the laws governing their use. Doing so requires that each individual exercise personal initiative in reviewing the actual laws, not the "hearsay" information collected through numerous social media sources that provide little or nothing to support the information presented.