You may as well approach HC for speedy trial. but looking at your case and financial status it is better to get back wife and like that you will not need to pay her any alimony and also you will be saving a lot of money.. likewise even if you get a order from HC for speedy trial, it will be of no use, lower court will order something according to their wish hurriedliy and you will be forced to approach HC to rectify for one sided judgement which will be biased. So you will lose more time and some more money, pay fees to lower court lawyer, pay fees to high court lawyer for step 1 and step to of rectifying orders again paying fees to lawyers, so what I suggest is wait for lower to court to decide on alimony/maintenance and save both money and time or as I said get back wife and completely aviod paying money.
This wife or some other wife, all are the same, mean to say, present wife or future wife [in case you get divorce and remarry someone else later on] all women are like this only. Its better to bring back known devil than to get new devil. Old devil will come with old problems, new devil will come with new problems. Think and move ahead. All the best.