Is there any maximum no. of company for an O/O to have a carrier contract to haul some loads with?

Question

We are trucking company (with 53" trailer) based on Los Angeles, CA, USA and so far we have two companies that we have a contract(freight carrier), to haul some loads, and we think its not enough because sometimes they don't have any loads on that particular state.

Is there any problem signing up on as much as Companies (brokers / 3PLs) that we want so we can have more resources?

Is there any impact on our insurance since we are adding these companies as additoinal insured?

Your answer(s) will be greatly appreciated.

Additional info:
These companies we are in contract with are brokerage companies. And we are only independent contractors, we either check on their online load boards or call their agents if there is available load(s) inbound and outbound to a particular state whereever our truck is.

Sometimes these 2 brokerage companies does not have enough loads because our truck/driver get stuck in East Coast for 2-3 days before we can get a load back to california, unless we get a load to other brokers for a one time service (not contract).

Answer 1

the olny problem i see with this idea is you are gonna get more work then you can handle if you sign a contract with 3 carriers and all three keep you busy and you arnt late picking up any loads or delivering any loads then there shouldnt be a problem but wht do you do whn 1 company needs you for a month or 2 straigh then you are shorting another company and not living up to your end of the contract and why find more when you could be looking for 1 company that can keep all your trucks busy ? the fewer customers you have the better you can serve them . and there shouldnt be any problem with insurance the amout you pay shouldnt go up just because 1 week you haul hot dogs and the next week you haul meat as long as you are insured to cover the lose of the most expensive thing you carry