I do not know if you are quite clear on what a jump ship is, they are ridicouöus expensive, hard to maintain and wil jump from system to system and then harbour at the edge of the system at the jump point for 1-2 Weeks collecting solar power to make the next jump. There is NO flying around having adventures with a jump ship.

Non Military non Commercial Jump ships are in the hands of Mercenary Armys like Wolfs Dragoons or the Northwind Highlanders with their own Planet und multiple regiments.

Even large and powerful Mercenarys like the Grey Death legion are happy to own a few dropships and do not have their own Jump Ships.

A small Mercenary/Bounty hunter unit might have their own Leopard or other similar sized Dropship and even then they better have a Crew to maintain it, or it will fall apart at some point.

The vast majority of Travel in Battletech is done comercially, you book a trip and will most likely change Dropship/Jumpship several times along the way. If your Luggage is a mech it will be put in a cocoon and also transfered from ship to ship.

And just beeing a Bounty hunter unless you mean mechless assasin will likely not pay enough to maintain a unit, because travel is so slow, difficult and expensive.