I am exploring this area and have heard some noise regarding the further limitations on beach access points along the coast, creating some havoc for str owners.

This allows you to access funds while keeping your existing mortgages intact.Second Mortgage: Explore lenders who offer second-position loans on investment properties, though rates will be higher.Cash-Out HELOC : While traditional banks often restrict HELOCs on non-owner-occupied properties, some portfolio or private lenders may offer HELOCs for investors.With $15-20K in liquid funds, look for deals where you can negotiate terms:Seller Financing: Negotiate lower down payments or interest-only periods.Subject-To Financing: Assume the seller’s existing mortgage while covering the down payment.Lease-to-Own: Lock in the purchase price while using rental income to build equity.

The license (if you aren't going to use it to sell) is worth it for access to the MLS and access to dumps the first day they on the market.

There are no municipal-level rental restrictions. 

What are the pros and cons of each, and which offers the least restrictions, flexibility and cost savings for my intended purposes?

At a minimum,  you should understand what the current zoning is and what restrictions there are.As the post above mentioned reaching out or going in person to speak with the planning and zoning department will be very helpful. 

Lots of cities have restrictions..Arlington limits to a fairly small area of town, Ft.

Like others have said, you can't restrict actual service animals but disclose what is going on.I have yet to have someone with a service animal not tell me in advance.

@Ricky Hernandez  We bought in two different communities that had no rental restrictions then later imposed cap of 10% rentals. 

Yup City of Alexandria, not to be confused with Alexandria Fairfax County, is pretty much the only place you can STR in the metro are without restrictions.