Whether or not a computer is required, you should buy or rent one for this sort of diving, if the op does not supply one free
No op here will give a dive computer for free. I did, but stopped when one was stolen by the diver it had been lent to. One bad apple will taint a whole container-load of barrels.
But for Belize diving and indeed any warm water resort diving, a dive computer is pretty much de rigeur. Profiles are too erratic for tables to work. Like dive insurance, just regard it as one of the costs of going diving. Treat it like the precision instrument it is, avoiding knocks, and be extremely careful with re-sealing if you change the battery yourself. And wash it with warm water and soap at the end of every day's diving. A decent computer should last you many years of diving. Because of that, don't think in terms of your current diving standard but think ahead, so always get a computer that's nitrox-capable.
Oh, and replace the battery before a dive trip. You'd be amazed how many people come here and immediately look to get their computer battery replaced. The latest I was asked about was a Suunto D4. No-one here can open that computer, no-one has any o-rings, and if you find a battery that fits it's probably been on the shelf for several years. The only one of that type that I can open is a Suunto Stinger, as I have one myself and bought the opening tool. I also have some new spare batteries and one o-ring.
Suunto have a crazy way of appointing service engineers. To be eligible to attend one of their courses you have to be a dealer with a track record of buying a large number of units from them - I forget how many, but 50/year seems to ring a bell. Fine perhaps in Europe or America, but completely fanciful down here. I ran a very busy gear shop for several years, and never came close to 10% of that number of dive computers of all makes. And unless you're an accredited service engineer you can't buy any of their tools, not even o-rings. So the one I bought was a copy. I am a service engineer for several makes of computer, but not ever Suunto.
I might add that as computers are now so cheap, it's a good idea to have two. On the deep dives you can carry both to give redundancy, and on the shallow ones you have a spare in the event that your battery fails, or worse. Just remember that a computer that hasn't been on a particular dive has no knowledge of the nitrogen you absorbed during that dive, so if your primary computer fails during a day of dives, either stop diving for that day or dive shallow and extremely conservatively.
It's a moot point whether the two computers, when you're carrying both, should have the same algorithm or not. There are arguments both ways. I prefer to use computers from different manufacturers which start reading quite differently after a couple of dives near to the limits. I generally dive according to the more conservative one, except when from my experience I know I can push things a bit harder. This area is quite controversial.