Tech and RPI fan here. I have insight into both programs with personal connections and getting inside info. Yes there was a change in conferences more than once for MTU. Don't see that happening for RPI though stranger things have happened.
For Tech a new coach (alum) was hired, and they did still play with some of the big teams. What I believe was key is there was a meeting of the minds if you will that included a top AD, the new coach hire and I believe very key the Tech President. They had to invest in the program, and I mean money ie a bigger budget for recruiting and pay for all the coaches etc. The facilities are 43 years old and are top-notch, kept sparkling clean, and updated regularly. The AD made sure to pour support to the program and dug in every corner for donations of dollars. The Pres did the same with support and regularly went to games, home always and some away. The Pres box always had potential donors in it. It was truly a GROUP effort and people REALLY noticed the backing from the Pres. as the previous Pres never showed up.
Then the conference changed and changed again. The first was essentially the "big" teams left the next change was leaving the teams that were regularly bottom of the new conference. This helps as losing to a team that was weak wreaks havoc on your pairwise. Then a coaching change again, not an alum, hired from within and Tech hockey still seems relevant on the national stage. Tech has a good shot at making the NCAA tourney current pairwise 11.
Remember the rest of Tech sports are DIV II. The women's BB team is regularly ranked and typically goes several rounds into the national tourney. Then men's BB team recently lost a long-time excellent coach that had them nationally ranks several times. The football team has recently been middling though it does play in the toughest DII conference in the country and at times gotten into the National Tournament as well. Tech is in a small city with great fans and there is a lot of support from local businesses' regularly. Same with those fans, how many colleges have an independent fan group that sets up lodging and busing deals for students to travel to at cost for the students, ie Mitch's Misfits. The band is great, and creative, and travels to events/some away games ie GLI, and Desert Classic. There are a few free classes for students to learn about hockey, its history and strategy. I do not mean classes for credit. The atmosphere at a game truly is fun.
What I see missing from RPI is this GROUP effort. Being there, backing everything and everyone, obviously, this was/is lacking from SAJ and her lackeys. The Houston Fieldhouse has seen better days as well. They do try to keep up with certain aspects for the players though I see some things missing. Can it still work yes sure if you can create a better atmosphere. Hard to do when not winning.
There are some things I did not touch on this was long-winded enough. Good Luck