This table from Cornell gives you a list of the disease resistance of many of the common tomatoes.
However, be warned, if there is a lot of disease resistance built in and good looks (red round) then it probably came at the expense of taste.
Plant at the right time. Tomatoes like warm temperatures and fungal disease love high humidity. Plant your tomatoes far enough apart so they get good air circulation ( I have three tomatoes in cages about 3 feet apart ) and take off the bottom leaves that will get water splashing back. Mulch heavily and drip irrigate or tube irrigate to reduce splashing and wetting the leaves. Cage or prune tomatoes to a stake.
if the weather is humid or wet, you need to have a preventive anti fungal spray program.
Better Boy, Celebrity, and Whopper were the recommended large tomatoes for North Carolina. They will give you tomatoes but while they are good slicers, they can be bland.
Others that have done well in my hot and humid climate are Sungold, Sweet 100 or the the improved version, Jasper, Mountain Magic, Mountain Merit, (the Mountain series were bred in North Carolina). Matt's Wild Cherry, Mr Stripey (tigrella), Defiant, 1884, Red Cherry.
I am not particular about flavor so some may not be to your liking, but these are a start.
Others that did well were Early Girl, Gardener's delight, Amish paste, Arkansas Traveler, Lime Green Salad, Pruden's Purple, Cherokee Purple, and Heatwave II.
http://vegetablemdonline.ppath.cornell. ... Table.html
Happy gardening in Hawaii. Gardens are where people grow.