The problem with "day and date" Tritium watches is, that there is not even a handful you can buy (which I personaly find a shame, because I love to have day and date on an analog watch). Usually all the H3's have only a date window and not too many have a sapphire crystal as well.
The ones I know with a day and date windows are as follows:
Amazon.com: traser extreme sport
Probably the best overall choice, since they have day, date and sapphire.
Amazon.com: traser p-6600
Day, date but no sapphire. Also NO trit vial on the second hand
Amazon.com: luminox field day date
Day, date and sapphire. Beware some of those models do not have a second hand trit vial as well.
Amazon.com: Armourlite Shatter Proof Scratch Proof Glass Swiss Tritium Watch Rubber Bracelet.: Watches
Not much known about this brand. Also not sure what kind of crystal they use, but definitely no trit vial on the second hand either.
Of all the H3 watches on the market these are really the only ones I know which have a day and date window. Maybe there are others I haven't heard from yet, so probably othet members can chime in.